MCQ Questions for Class 9 Maths Chapter 13 Surface Areas and Volumes with Answers

Online Education MCQ Questions for Class 9 Maths Chapter 13 Surface Areas and Volumes with Answers

Check the below Online Education NCERT MCQ Questions for Class 9 Maths Chapter 13 Surface Areas and Volumes with Answers Pdf free download. MCQ Questions for Class 9 Maths with Answers were prepared based on the latest exam pattern. We have provided Surface Areas and Volumes Class 10 Maths MCQs Questions with Answers to help students understand the concept very well. https://ncertmcq.com/mcq-questions-for-class-9-maths-with-answers/

Students can also refer to NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes for better exam preparation and score more marks.

Online Education for Surface Areas and Volumes Class 9 MCQs Questions with Answers

Surface Area And Volume Class 9 MCQ Chapter 13 Question 1.
If the perimeter of one of the faces of a cube is 40 cm, then its volume is:
(a) 6000 cm³
(b) 1600 cm³
(c) 1000 cm³
(d) 600 cm³

Answer

Answer: (c) 1000 cm³


Surface Area And Volume Class 9 MCQ With Answers Chapter 13 Question 2.
A cuboid having surface areas of 3 adjacent faces as a, b and c has the volume:
(a) 3\(\sqrt{abc}\)
(b) \(\sqrt{abc}\)
(c) abc
(d) (abc)²

Answer

Answer: (b) \(\sqrt{abc}\)


Class 9 Maths Chapter 13 MCQ Question 3.
The radius of a cylinder is doubled and the height remains the same. The ratio between the volumes of the new cylinder and the original cylinder is
(a) 1 : 2
(b) 3 : 1
(c) 4 : 1
(d) 1 : 8

Answer

Answer: (c) 4 : 1


MCQ Questions For Class 9 Maths Ncert Chapter 13 Question 4.
Length of diagonals of a cube of side a cm is
(a) √2a cm
(b) √3a cm
(c) \(\sqrt{3a}\) cm
(d) 1 cm

Answer

Answer: (b) √3a cm


Ch 13 Maths Class 9 MCQ  Question 5.
Volume of spherical shell is
(a) \(\frac{2}{3}\) πr³
(b) \(\frac{3}{4}\) πr³
(c) \(\frac{4}{3}\) π(R³ – r³)
(d) None of these

Answer

Answer: (c) \(\frac{4}{3}\) π(R³ – r³)


Class 9 Surface Area And Volume MCQ Chapter 13 Question 6.
Volume of hollow cylinder
(a) π(R² – r²)h
(b) πR²h
(c) πr²h
(d) πr²(h1 – h1)

Answer

Answer: (a) π(R² – r²)h


Class 9 Maths Ch 13 MCQ Question 7.
The radius of a sphere is 2r, then its volume will be
(a) \(\frac{4}{3}\) πr³
(b) 4πr³
(c) \(\frac{8}{3}\) πr³
(d) \(\frac{32}{3}\) πr³

Answer

Answer: (d) \(\frac{32}{3}\) πr³


MCQ On Surface Area And Volume Class 9 Pdf Chapter 13 Question 8.
In a cylinder, radius is doubled and height is halved, curved surface area will be
(a) halved
(b) doubled
(c) same
(d) four time

Answer

Answer: (c) same


MCQ Questions For Class 9 Maths Chapter 13 Question 9.
The total surface area of a cone whose radius is \(\frac{r}{2}\) and slant height 2l is
(a) 2πr(l + r)
(b) πr(l + \(\frac{r}{4}\))
(c) πr(l + r)
(d) 2πrl

Answer

Answer: (b) πr(l + \(\frac{r}{4}\))


Surface Area And Volume MCQ Class 9 Chapter 13 Question 10.
The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is
(a) 1 : 4
(b) 1 : 3
(c) 2 : 3
(d) 2 : 1

Answer

Answer: (a) 1 : 4


Chapter 13 Maths Class 9 MCQ Question 11.
The length of the longest pole that can be put in a room of dimension (10 m × 10 m × 5 m) is
(a) 15 m
(b) 16 m
(c) 10 m
(d) 12 m

Answer

Answer: (a) 15 m


MCQ Questions For Class 9 Maths Surface Area And Volume Chapter 13 Question 12.
The lateral surface area of a cube is 256 m³. The volume of the cube is
(a) 512 m³
(b) 64 m³
(c) 216 m³
(d) 256 m³

Answer

Answer: (a) 512 m³


MCQ Of Surface Area And Volume Class 9 Chapter 13 Question 13.
The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3. The ratio of their volumes is
(a) 10 : 17
(b) 20 : 27
(c) 17 : 27
(d) 20 : 37

Answer

Answer: (b) 20 : 27


Class 9 Maths Chapter 13 MCQ With Answers Question 14.
A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a shape. The radius of the sphere is
(a) 4.2 cm
(b) 2.1 cm
(c) 2.4 cm
(d) 1.6 cm

Answer

Answer: (b) 2.1 cm


MCQ On Surface Area And Volume Class 9 Chapter 13 Question 15.
The total surface area of a cube is 96 cm². The volume of the cube is
(a) 8 cm³
(b) 512 cm³
(c) 64 cm³
(d) 27 cm³

Answer

Answer: (c) 64 cm³


We hope the given NCERT MCQ Questions for Class 9 Maths Chapter 13 Surface Areas and Volumes with Answers Pdf free download will help you. If you have any queries regarding Surface Areas and Volumes CBSE Class 9 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

Invitation and Replies Class 12 Format, Examples

Invitation and Replies Class 12

Online Education for Invitation and Replies Class 12 Format, Examples

Invitations are of two kinds:

  • Formal ➝ invitation card/letter ➝ In a fixed format
  • Informal ➝ A letter or a note ➝ Free handwriting

This grammar section explains English grammar in a clear and simple way. There are example sentences to show how the language is used. NCERT Solutions for Class 12 English will help you to write better answers in your Class 12 exams. Because the Solutions are solved by subject matter experts. https://ncertmcq.com/invitation-and-replies-class-12/

Invitation Class 12

Formal invitations are sent to relatives, friends, acquaintances, etc. on social occasions.
A simple yet elegant printed card is preferred.

Invitations are written in the third person.
Example:

  • Mr. and Mrs. S. Surendran request the pleasure of the company of Mr. and Mrs. Rajkumar…………….

Note that the English etiquette requires the husband’s name to be written first.
Example:

  • Mr. and Mrs. G. Joseph

Avoid the use of abbreviations for the names of guests, days, dates. However, the abbreviation RSVP (Respondezs’il Vous plait) which means “Please Reply’ is put at the bottom.

The subject matter is written in the centre setting. Details such as an address, dress code, or any other instructions are written at the bottom to the left or the right as per choice or convenience.

Invitation Format Class 12

♦ Sample Invitations

1. Formal Invitation (4marks)

Invitation Class 12
Informal Invitation (4marks)

Invitation Format Class 12

Formal Invitation Class 12

2. Formal Invitation (4marks)

Formal Invitation Class 12
Informal Invitation (4marks)

Formal And Informal Invitation Class 12

Formal And Informal Invitation Class 12

3. Sample Formal Invitation (4marks)

Invitation Writing Class 12

Invitation Writing Class 12

4. Formal Invitation – Letter Format (Format-Similar to a formal letter) (4marks)

Formal Invitation Format Class 12

Formal Invitation Format Class 12

5. Formal Invitation (4marks)

Invitation And Replies Class 12

Invitation And Replies Class 12

6. Informal Invitation (4marks)

Informal Invitation Class 12

Informal Invitation Class 12

7. Sample Formal Invitation (4marks)

Invitation Format
Informal Invitation (4marks)

Invitation Reply Class 12

♦ Informal Invitation:

Invitation Format Question 8.
Vikasananda School, Bhamti, Nagpur is celebrating its Annual Prize Distribution Function on 14 August. As Mr. Gopinath Munde, Principal of the school, draft an invitation, in not more than 50 words, to be sent to the parents and guests.

(a) ……………………………………………………………………………………………………
of
(b) ……………………………………………………………………………………………………
cordially invite
(c) ……………………………………………………………………………………………………
to
(d) ……………………………………………………………………………………………………
(e) ……………………………………………………………………………………………………
(f) ……………………………………………………………………………………………………
Brig. R.K. Gadhoke, Chairman, ‘Managing Committee
(g) ……………………………………………………………………………………………………
(h) ……………………………………………………………………………………………………

Answer:
(a) The Principal, staff, and students
(b) Vikasananda School, Bhamti, Nagpur
(c) (Name)
(d) The Annual Prize Distribution Function
(e) at 4.00 p.m. on Friday, 14 August 2015
(f) in the Air Force Auditorium, Bharti
(g) has kindly consented to be the Chief Guest
(h) and give away the prizes.

Invitation Reply Class 12 Question 2.
You are the President, Literary Society of Sunshine International School. Draft an invitation to the author, Ms. Manjul Bajaj requesting her to conduct a workshop on creative writing in your school. You are Romi/Rohit. (4 marks)
Answer:

Dear Ms. Manjul Bajaj
To encourage literary skills among students, our school is celebrating Tolstoy Week from August 1-August 7, 20XX. We would be grateful if you could grace the occasion and conduct a workshop on creative writing in our school.
For any further clarification, please contact Mr. Ramakant Mishra, The Principal at 9543210671.

Venue:
School Conference Hall,
Sunshine International School,
Dwarka, New Delhi
Time: 10 a.m.
Date: 3 August, 20XX

Romi
President
Literary Society
Sunshine International School
Dwarka, New Delhi

Formal Invitation Format Question 3.
On 30th November your school is going to hold its Annual Sports Day. You want Mr. Dhanraj Pillai, a noted hockey player to give away the prizes to the budding sportspersons of the school. Write a formal invitation in about 50 words requesting him to grace the occasion. You are Karuna/Karan, Sports Secretary, Sunrise Global School, Agra. (4 marks) [CBSE (AT) 2016]
Answer:

The Principal, Staff, and Students of
Sunrise Global School
Cordially invite
Mr. Dhanraj Pillai


to grace us on our Annual Sports Day and give away the prizes to the budding sportspersons of our school.

For any further clarification, please contact Mr. Ramakant Mishra, The Principal at 9543210671.

Venue: School Ground
Time: 10 a.m.
Date: 30th November, 20XX

R.S.V.P.
Karuna
Sports Secretary Sunrise Global School Agra

Informal Invitation Question 4.
Sunrise Global School, Agra is going to organise a one-act play competition in the school auditorium. You have decided to invite noted stage artiste, Nalini to grace the occasion. Draft a formal invitation for her in about 50 words. You are Karuna/Karan, Cultural Secretary. (4 marks) [CBSE Delhi 2016]
Answer:

The Cultural Club
Sunshine Global School
Cordially invites
Padmashri Ms. Nalini (Danseuse)
To grace the “TAGORE WEEK Celebrations”
“One Act Play Competition”
Venue: School auditorium
Time: 10 a.m
Date: 3 April, 20XX

R.S.V.P.
Karuna
Cultural Secretary
Sunshine Global School
Agra. 984xxxx001

Invitation Class 12 Format Question 5.
You are Dhruv/Deepa. Your father, Shri Dheeraj Garg of Gurugram wants you to draft an invitation to be sent to friends and relatives on the occasion of your elder sister’s marriage. Prepare the invitation giving necessary details in not more than 50 words. (4 marks) [CBSE (1/2/1) 2019]
Answer:

Mr. and Mrs. Dheeraj Garg

request the pleasure of your company
on the auspicious occasion of their daughter

Kanika

(D/o Mr. and Mrs. Dheeraj Garg, Gurugram)
With

KUNAL

(S/o Mr. and Mrs. Amber Sharma, Gurugram)
On Saturday, February 22, 20XX
At
Tivoli Gardens, Gurugram

Programme
Saturday, February 22, 20XX
Reception of Baraat: 8 p.m.

R.S.V.P.
Mr. and Mrs. Dheeraj Garg  Contact no: 98xxxxxxxxx

With best compliments from
All relatives and
friends

♦ Replies:

A reply to an invitation is as formal as the invitation itself. A reply to an invitation is essential to appreciate the host’s feelings and letting the host know whether you are attending the function or not. This helps him/her to make arrangements accordingly.

♦ Main Characteristics:

The reply to an invitation must acknowledge the invitation by expressing thanks. The reply should mention whether the invitation has been accepted or refused (specify reason) using a warm and specific language. The reply should be brief and specific. Do remember to include greetings like ‘Best Wishes’ in case you are declining the invitation.

Invitations And Replies Class 12

♦ Sample Formal Replies

Accepting the Invitation (Formal) (4 marks)

Mr. Vipin thanks Mr & Mrs. Khanna for their kind invitation to their daughter Aditi’s marriage on 20th January, 20XX at 10 a.m. and has great pleasure in accepting it and confirms his presence at the venue of the scheduled time.

Declining the Invitation (Formal) (4 marks)

Mr Vipin thanks Mr & Mrs Khanna for their kind invitation to their daughter! Aditi’s marriage on 20th January, 20XX at 10 a.m. but regrets his inability to attend due to a prior engagement. He wishes Aditi a happy married life.

Sample Informal Replies
Accepting the invitation (4 marks)

21, Professors’Colony,
Coimbatore
10th January, 20XXDear Nirbhay and Bhabhiji,
I am pleasantly surprised to receive your invitation to Aditi’s wedding. Has she grown so big? I still remember her as the little girl with two ponytails in a pink frock, eating chocolates, and throwing tantrums upon refusal.
Well, it is really a big occasion for me. I will be delighted to join in the celebration and bless the newly-wed couple.
And yes, as requested the whole family is coming too.
Yours
Vipin

Declining the Invitation (4 marks)

21, Professors’ Colony,
Coimbatore10th January, 20XX
Dear Nirbhay and Bhabhiji,
I am pleasantly surprised to receive your invitation to Aditi’s wedding. Has she grown so big? I still remember her as the little girl with two ponytails in a pink frock,j eating chocolates, and throwing tantrums upon refusal. Well, it is really a big occasion for me and I would have loved to join you on the auspicious occasion, but my father is in the hospital. He had surgery last week and: needs constant care.I really feel bad not to be able to personally join the occasion and bless the newlywed couple. Please accept my best wishes. I am writing to Aditi separately.
Yours
Vipin
MCQ Questions for Class 9 Maths Chapter 11 Constructions with Answers

Online Education MCQ Questions for Class 9 Maths Chapter 11 Constructions with Answers

Check the below Online Education NCERT MCQ Questions for Class 9 Maths Chapter 11 Constructions with Answers Pdf free download. MCQ Questions for Class 9 Maths with Answers were prepared based on the latest exam pattern. We have provided Constructions Class 10 Maths MCQs Questions with Answers to help students understand the concept very well. https://ncertmcq.com/mcq-questions-for-class-9-maths-with-answers/

Students can also refer to NCERT Solutions for Class 9 Maths Chapter 11 Constructions for better exam preparation and score more marks.

Online Education for Constructions Class 9 MCQs Questions with Answers

Construction Class 9 MCQ Chapter 11 Question 1.
If a, b and c are the lengths of the three sides of a triangle, then which of the following is true?
(a) a + b < c
(b) a – b < c
(c) a + b = c

Answer

Answer: (b) a – b < c


Construction MCQ Class 9 Chapter 11 Question 2.
With the help of a ruler and compasses, which of the following is not possible to construct?
(a) 70°
(b) 60°
(c) 135°

Answer

Answer: (a) 70°


Class 9 Construction MCQ Chapter 11 Question 3.
Which of the following sets of angles can be the angles of a triangle?
(a) 30°, 60°, 80°
(b) 40°, 60°, 70°
(c) 50°, 30°, 100°

Answer

Answer: (c) 50°, 30°, 100°


Class 9 Maths Chapter 11 MCQ Question 4.
The construction of the triangle ABC is possible if it is given that BC = 4 cm, ∠C = 60° and the difference of AB and AC is
(a) 3.5 cm
(b) 4.5 cm
(c) 3 cm
(d) 2.5 cm

Answer

Answer: (b) 4.5 cm


Class 9 Maths Ch 11 MCQ Question 5.
Which of the following can be the length of BC required to construct the triangle ABC such that AC = 7.4 cm and AB = 5 cm?
(a) 3.5 cm
(b) 2.1 cm
(c) 4.7 cm

Answer

Answer: (b) 2.1 cm


Constructions Class 9 MCQ Chapter 11 Question 6.
If we want to construct a triangle, given its perimeter, then we need to know:
(a) Sum of two sides of triangle
(b) Difference between two sides of triangle
(c) One base angles
(d) Two base angles

Answer

Answer: (c) One base angles


MCQ On Constructions Class 9 Chapter 11 Question 7.
To construct a bisector of a given angle, we need:
(a) A ruler
(b) A compass
(c) A protractor
(d) Both ruler and compass

Answer

Answer: (d) Both ruler and compass


Class 9 Maths Chapter 11 MCQ With Answers Question 8.
Which of the following set of lengths can be the sides of a triangle?
(a) 2 cm, 4 cm, 1.9 cm
(b) 1.6 cm, 3.7 cm, 5.3 cm
(c) 5.5 cm, 6.5 cm, 8.9 cm
(d) None of the above

Answer

Answer: (c) 5.5 cm, 6.5 cm, 8.9 cm


MCQ Of Construction Class 9 Chapter 11 Question 9.
Which of these angles cannot be constructed using ruler and compasses?
(a) 120
(b) 60
(c) 140
(d) 135

Answer

Answer: (c) 140


MCQ Questions For Class 9 Maths Ncert Chapter 11 Question 10.
Which of the following angles can be constructed using ruler and compasses?
(a) 35
(b) 45
(c) 95
(d) 55

Answer

Answer: (b) 45
Hint:
See the figure below:
MCQ Questions For Class 9 Maths Ncert Chapter 11
ROA = 45°


Construction Class 9 MCQ With Answers Chapter 11 Question 11.
With the help of a ruler and compasses which of the following is not possible to construct?
(a) 120°
(b) 135°
(c) 140°

Answer

Answer: (c) 140°


Class 9 Chapter 11 MCQ Question 12.
If the construction of a triangle ABC in which AB = 6 cm, ∠A = 70° and ∠B = 40° is possible then find the measure of ∠c.
(a) 40°
(b) 70°
(c) 80°

Answer

Answer: (b) 70°


MCQ Questions For Class 9 Maths Chapter 11 Question 13.
Which of the following set of lengths can be the sides of a triangle?
(a) 2 cm, 4 cm, 1.9 cm
(b) 5.5 cm, 6.5 cm, 8.9 cm
(c) 1.6 cm, 3.7 cm. 5.3 cm

Answer

Answer: (b) 5.5 cm, 6.5 cm, 8.9 cm


Question 14.
The construction of a triangle ΔABC in which BC = 6 cm, ∠A = 50° is not possible, when difference of BC and AC is equal to
(a) 4.6 cm
(b) 6.4 cm
(c) 5.1 cm

Answer

Answer: (b) 6.4 cm


Question 15.
Which of the following angle can be constructed with the help of a ruler and a pair of compasses?
(a) 35°
(b) 40°
(c) 37.5°
(d) 47.5°

Answer

Answer: (c) 37.5°


Question 16.
To construct an angle of 60 degrees, we need to draw first:
(a) A ray
(b) An arc
(c) Two rays
(d) A straight line

Answer

Answer: (a) A ray
Hint:
To construct an angle of 60 degrees we need to start at the initial point of a ray.


Question 17.
The side lengths 4 cm, 4 cm and 4 cm can be sides of:
(a) Scalene Triangle
(b) Isosceles Triangle
(c) Equilateral Triangle
(d) None of the above

Answer

Answer: (c) Equilateral Triangle
Hint:
Equilateral triangle has all its three sides equal.


Question 18.
If a, b and c are the lengths of three sides of a triangle, then:
(a) a + b > c
(b) a – b > c
(c) a + b = c
(d) a – b = c

Answer

Answer: (a) a + b > c
Hint:
The sum of two sides of a triangle is always greater than the third side.


Question 19.
Which of these angles we cannot construct it using ruler and compasses?
(a) 120
(b) 70
(c) 60
(d) All can be constructed

Answer

Answer: (b) 70


Question 20
Which of the following angles can be constructed using ruler and compass?
(a) 35
(b) 40
(c) 90
(d) 50

Answer

Answer: (c) 90
Hint:
See the figure below:
MCQ Questions for Class 9 Maths Chapter 11 Constructions with Answers
∠POA = 90


We hope the given NCERT MCQ Questions for Class 9 Maths Chapter 11 Constructions with Answers Pdf free download will help you. If you have any queries regarding Constructions CBSE Class 9 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

Subject Verb Agreement Exercises for Class 10 CBSE With Answers

Subject-Verb Concord Class 10 Exercise

In Online Education When we construct a sentence its Verb and Subject must agree in Number and Person. Thus, if the subject is of the singular number, first-person, the verb must be of the singular number. If subject has plural number, third person, the verb must be of the plural number.

This grammar section explains English Grammar in a clear and simple way. There are example sentences to show how the language is used. NCERT Solutions for Class 10 English will help you to write better answers in your Class 10 exams. Because the Solutions are solved by subject matter experts. https://ncertmcq.com/subject-verb-agreement-exercises-for-class-10/

Online Education for Subject Verb Agreement Exercises for Class 10 CBSE With Answers Pdf

Subject Verb Concord Class 10 Exercises

The basic rule of subject-verb concord is that a singular subject (the doer of an action who is being talked of in the sentence) always takes a singular verb (the action being done in the sentence) whereas a plural subject always takes a plural verb.
For example:

  • The girl goes out. The girls go out.

Remember:

  • Doesn’t is a contraction of does not and should be used only with a singular subject.
  • Two singular subjects connected by or, either/or, or neither/nor require a singular verb.
  • Nouns like scissors and trousers always take plural verbs.

The subject and the verb must agree. If the subject is singular, the verb should also be singular. If the subject is plural, the verb should also be plural. The verb agrees with the subject in number and person.

  • The given words look like plurals (i.e. they end in ‘s”). But they are, in fact, singular nouns.
    For these nouns, we use a singular verb.
subject diseases games/sports
dramatics mumps darts
economics measles cards
statistics rickets aerobics
  • Words such as audience, congregation, crowd, group, family take a singular or plural verb, depending upon the sentence. But it is always safe to use plural verbs with these nouns.
  • Nouns plural in form but singular in meaning take a plural form,
    For example. compasses, scissors, tongs, goggles, jeans.
  • Everybody, somebody, nobody, anybody, anyone and each takes a singular verb.
  • When two subjects (nouns) are joined by ‘and’, they require a plural verb.
    For example. The cow and the goat are grazing.
  • We use a singular verb if two subjects (nouns) are separated by ‘and’ refer to the same person or thing.
    For example. Dal and rice is my grandfather’s favourite.
    Mr Madan, my friend and philosopher, sits next to me.
  • If subjects are joined by or, nor, either, neither the verb agrees with the subject.
    For example. Neither he nor his friend was there.
    Either the boy or his sisters have broken the tray.
    He or his friends are to be blamed.
  • The title of a book, play, story or a musical composition, takes a singular verb even though they are in the plural.
  • Words or phrases expressing periods of time, fractions, weights, measurements and amount of money are considered as singular and take a singular verb.
  • When a plural noun comes between a singular subject and its verb, the verb agrees with the subject and not with the nearest plural.
    For example.

    • Each of the watermelons is sweet.
    • Each one of our group is enthusiastic.
    • Neither of the men was busy.

Subject-Verb Concord Class 10 Exercises With Answers

Semi–modal Verbs – Uses
The semi–modal verbs are: need, dare, ought, used. They are verbs that have some of the characteristics of lexical–verbs and some of the characters of modal verbs. Examples:

  • Dare and need
    They are sometimes used with a to-infinitive and sometimes with a base form alone:

    • Dare and need
    • I daren’t tell her.
    • I need to look at a file on this computer.
    • You need not wait for me
  • Ought and used
    Ought and used do not change the form, but they are always used with a to-infinitive:

    • I ought to learn more grammar.
    • I used to enjoy grammar.

Subject Verb Agreement Exercises Solved Examples for Class 10 CBSE

Complete the passage given below:

Subject Verb Agreement Exercises For Class 10 Pdf Question 1.
Climatic change (a) ……………………. one of the hotly contested debates. India and Antarctica (b) ……………………. once the part of the same landmass. To visit Antarctica now (c) ……………………. to be a part of history. 90 percent of the Earth’s total ice volumes (d) ……………………. stored there, Antarctica (e) ……………………. her simple ecosystem. Therefore to study the earth, Antarctica ………………….. the place to go. Antarctica (8) …………………. devoid of any human markets. It (h) ……………………. no trees, buildings or billboards.
Answer:
(a) is
(b) were
(c) is
(d) was
(e) has is
(g) is
(h) has

Subject Verb Agreement Exercise Class 10 Question 2.
Keeping a pet (a) ……………………. the best way to fight loneliness. But clean and comfortable ……………………. housing for them (b) ……………………. essential. If they (c) ……………………. carnivores a high protein diet (d) ……………………. required. Veterinary appointments (e) ……………………. a must. They (f) ……………………. wonderful pets and (g) ……………………. quite affectionate. They (h) ……………………. you entertained for hours.
Answer:
(a) is
(b) is
(c) are
(d) is
(e) are
(f) make
(g) are
(h) keep

Subject Verb Agreement Class 10 Exercise Question 3.
Today road accidents (a) ……………………. earned India a dubious distinction. She (b) ……………………. the worst road traffic accident rate. The various factors to be blamed (c) ……………………. drunk–driving and carelessness in the use of helmets. The total number of deaths (d) ……………………. now passed the 135,000 marks. Trucks and two-wheelers (e) ……………………. responsible earlier. Evening rush hours ) ……………………. the most dangerous time to be on the road. Today drunken–driving (8) ……………………. become a major cause for road accidents. Think today. The time for action (h) ……………………. now.
Answer:
(a) have
(b) has
(c) are
(d) has
(e) were
(f) are
(f) has
(h) is

Subject Verb Agreement Class 10 Question 4.
In November 2009 sales of cars (a) ……………………. up. This (b) ……………………. the largest car boom the country (c) ……………………. seen in years. Today the largest growth (d) ……………………. seen for small cars. The entire market (e) ……………………. seeing steady growth. There ……………………. currently 1.7 million new cars (8) ……………………. every year but Maruti Suzuki (h) ……………………. not profiting from this development.
Answer:
(a) went
(b) is
(c) has
(d) is
(e) is are
(f) bought
(h) is

Subject Verb Concord Class 10 Question 5.
Mohan and Shyam (a) ……………………. my best friends. They always (b) ……………………. me in my work. None of them (c) ……………………. football. I (d) ……………………. never (e) ……………………. them wasting their time. Neither Mohan nor Shyam (f) ……………………. lazy. Each one of them (g) ……………………. very active. All the students of my class (h) ……………………. them.
Answer:
(a) are
(b) help
(c) plays
(d) have
(e) seen is
(f) is
(h) like

Subject Verb Concord Class 10 Exercises With Answers Question 6.
Fill in the blanks with the correct verb given in the bracket:
(a) Mathematics ……………………. (is/are) my favourite subject.
(b) Politics ……………………. (is/are) not my cup of tea.
(c) The poet and philosopher, Rahim ……………………. (has/have) died.
(d) Mohan no less than you ……………………. (is/are) guilty.
(e) This news ……………………. (is/are) false. Bread and butter ………………….. (is/are) my favourite breakfast.
Answer:
(a) is
(b) is
(c) has
(d) are
(e) is
(f) is

Subject Verb Agreement Exercises Class 10 Question 7.
Fill in the blanks with the correct form of verb:
(a) It is Ram who ……………………. to blame.
(b) The whole class ……………………. absent.
(c) The jury ……………………. different opinion.
(d) Neither you nor I ……………………. invited.
(e) All the boys of the class ……………………. absent today.
(f) Two and two ……………………. four.
Answer:
(a) is
(b) is
(c) has
(d) am
(e) are
(f) make

Subject Verb Agreement Exercises For Class 10 Icse Question 8.
Fill in the blanks with the correct form of verb:
(a) The majority of the applicants ……………………. girls.
(b) Neither of these two boys ……………………. scored well.
(c) A pair of shoes ……………………. been stolen.
(d) The quality of these apples ……………………. not good.
(e) A black and white cow ……………………. grazing outside.
(f) A black and a white cow ……………………. grazing outside.
Answer:
(a) are
(b) has
(c) has
(d) is
(e) is
(f) are

Subject Verb Agreement Worksheet Class 10 Question 9.
Fill in the blanks with the correct form of verb:
(a) One thousand rupees ……………………. a big amount for me.
(b) If I ……………………. a bird, I would fly.
(c) Each of the girls ……………………. received an award.
(d) Four weeks ……………………. a good holiday.
(e) My father ……………………. not like reading comics.
(f) He walks as if he ……………………. lame.
Answer:
(a) is
(b) were
(c) has
(d) is
(e) does
(f) were

Meadow Surprises Extra Questions and Answers Class 7 English Honeycomb

Online Education for Meadow Surprises Extra Questions and Answers Class 7 English Honeycomb

Here we are providing Online Education for Meadow Surprises Extra Questions and Answers Class 7 English Honeycomb, Extra Questions for Class 7 English was designed by subject expert teachers.

We have created the most comprehensive Meadow Surprises Poem Class 7 Questions and Answers. These Questions and Answers are help to score more marks in your board Exams. https://ncertmcq.com/extra-questions-for-class-7-english/

Online Education for Meadow Surprises Extra Questions and Answers Class 7 English Honeycomb

Meadow Surprises Extra Questions and Answers Short Answer Type

Meadow Surprises Extra Questions Question 1.
Where can the velvety soft grass be found?
Answer:
The velvety-soft grass can be found in meadows.

Extra Question Answer Of Meadow Surprises Question 2.
Why is it difficult to. see a rabbit?
Answer:
One is unable to spot a rabbit in the grass because it is sitting very still. Only when it hops, one will be able to see it.

Meadow Surprises Extra Questions And Answers Question 3.
What AS the butterfly busy doing?
Answer:
Butterfly seems to be busy in sucking nectar from flowers. It appears as if the butterfly uses a drinking straw to do so.

Extra Questions Of Meadow Surprises Question 4.
How many ‘Meadow houses are discussed in the poem’?
Answer:
Burrows in the ground meant for smaller animals, nests beneath the tall grass for birds and mounds for ants are the various houses that are characterized by the term, ‘meadow houses’. While exploring the meadows one can see all of these.

Meadow Surprises Poem Questions Answers Question 5.
What turns into ‘airy parachutes’?
Answer:
Petals of dandelion turn into airy parachutes.

Meadow Surprises Question Answer Question 6.
What distinct extraordinary gifts of nature are available in meadows?
Answer:
Beautiful sights to velvety grass, butterflies sipping nectar, houses of various insects, birds and animals gives visual treat to the onlookers

Meadow Surprises Extract Based Questions Question 7.
Read the lines in which the following phrases occur. Then discuss with your partner the meaning of each phrase in its context.
(i) velvet grass
(ii) drinking straws
(iii) meadow houses
(iv) amazing mound
(v) fuzzy head
Answer:
(i) Velvet grass: The grass which is as soft as velvet.
(ii) Drinking straws: The long narrow tube by which butterfly gets nectar from the flower.
(iii) Meadow houses: habitats or home of animals like burrows in the ground, nests and ant’s mound.
(iv) Amazing mound: The amazing mound is a reference to the mound created by the ants as their dwelling place.
(v) Fuzzy head: Fuzzy head refers to the heads of the bright yellow flowers which have a beautiful texture.

Meadow Surprises Poem Extra Questions Question 8.
Which line in the poem suggests that you need a keen eye and a sharp ear to enjoy a meadow?
Answer:
“Oh! Meadows have surprises
And many things to tell.
You may discover these yourself
If you look and listen well.”

Question 9.
Find pictures of the kinds of birds, insects and scenes mentioned in the poem.
Answer:
Do it yourself.

Question 10.
Watch a tree or a plant, or walk across a field or park at the same time every day for a week. Keep a diary of what you see and hear. At the end of the week, write a short paragraph or a poem about your experiences. Put your writing up on the class buttet inboard.
Answer:
Do it yourself.

Meadow Surprises Extra Questions and Answers Reference to Context

Question 1.
Meadows have surprises,

You can find them if you look;
Walk softly through the velvet grass,
And listen by the brook.
You may see a butterfly
Rest upon a buttercup
And unfold its drinjring’straws
To sip the nectar up.

Explanation
The meadow offers several surprises to the one who has as eager eye to look at the meadow. Walking on the soft velvety grass, the sound of the brook, a butterfly sipping nectar from the flowers, all such sights give immense pleasure.

(i) When can one explore meadows?
(ii) Why did the poet say ‘the velvet grass’?
(iii) What do butterflies do?
(iv) What are ‘drinking straws’ of a butterfly?
Answer:
(i) One can explore meadows if one observes
(ii) Why ala the poet say the veivet grass
(iii) What do butterflies do?
(iv) What are ‘drinking straws’ of a butterfly?

Question 2.
You may scare a rabbit
Who is sitting very still;
Though at first, you may not see him,
When he hops you will.
A dandelion whose fuzzy head
Was golden days ago
Has turned to airy parachutes
That flutter when you blow.

Explanation
Walking further on, one may find a rabbit hidden in the grass. One may not be able to see it instantly, but soon it would hop in front of you because it would be scared. A dandelion that was golden a couple of days ago would have also bloomed.

(i) When can a rabbit be seen?
(ii) Who can scare a rabbit?
(iii) What is the colour of a dandelion flower when it blossoms?
(iv) What are ‘airy parachutes’?
Answer:
(i) When a rabbit hops it cam be seen.
(ii) A rabbit can be scared by an intruder/ am onlookers.
(iii) Its colour is golden.
(iv) Airy parachutes are dry seeds that scatter with wind.

Question 3.
Explore the meadow houses,
The burrows in the ground,
A nest beneath tall grasses,
The ant’s amazing mound.
Oh! Meadows have surprises
And many things to tell;
You may discover these yourself,
If you look and listen well.

Explanation
One could find several houses in the meadows. There would be burrows in the ground, nests beneath the tall grasses, mounds for ants and so on. For every person there would be some or the other surprise.

(i) Who stays in burrows?
(ii) Where can nest be found?
(iii) Which insect make amazing mounds?
(iv) How can meadows beauty be discovered?
Answer:
(i) Rabbits stay in burrows.
(ii) A nest can be found beneath tall grasses.
(iii) Ants make amazing mounds.
(iv) The poet reassures that bounties of meadows can be discovered by onlooker with patience

On the Grasshopper and Cricket Extra Questions and Answers Class 8 English Honeydew

Online Education for On the Grasshopper and Cricket Extra Questions and Answers Class 8 English Honeydew

Here we are providing Online Education On the Grasshopper and Cricket Extra Questions and Answers Class 8 English Honeydew, Extra Questions for Class 8 English was designed by subject expert teachers. https://ncertmcq.com/extra-questions-for-class-8-english/

You can refer to On the Grasshopper and Cricket Class 8 Questions and Answer NCERT to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Online Education for On the Grasshopper and Cricket Extra Questions and Answers Class 8 English Honeydew

On the Grasshopper and Cricket Extra Questions and Answers Short Answer Type

On The Grasshopper And The Cricket Poem Questions And Answers Question 1.
What is the meanings of the line: ‘The poetry of earth is never dead’?
Answer:
The poet wanted to say that poetry of nature is never going to end. No matter what the season is, whether it is the sweltering summer or the harsh cold winter, the music and the poetry of the nature is never dead.

On The Grasshopper And Cricket Extra Questions Question 2.
What is main theme of the poem?
Answer:
The main theme of poem is that poetry and music in nature do not perish.

On The Grasshopper And Cricket Question Answers Class 8 Oxford Question 3.
Where do birds take rest in hot summer day?
Answer:
The birds took rest under shady trees to secure themselves from the scorching heat of the sun.

On The Grasshopper And Cricket Question Answer Question 4.
Where do grasshoppers take rest when he tired?
Answer:
When grasshopper became tired, he rests ease beneath some pleasant weeds.

On The Grasshopper And The Cricket Poem Extra Questions And Answers Question 5.
In which season cricket sing?
Answer:
The cricket sing in winter. When it is very cold and quiet, the winter silence is broken by a shrill sound.

On The Grasshopper And The Cricket Poem Questions And Answers Pdf Question 6.
Discuss with your partner the following definition of a poem.
A poem is made of wotds arranged in a beautiful order. These words, when read aloud with feeling, have a music and meaning of their own.
Answer:
Poem is supposedly an artistic piece which contains a speech as well ag a song and is usually rhythmical and metaphorical. These beautiful arrangement’of words add to the essence of the poem. Poems are supposedly read aloud to feel the intense passion and emotion with which they have been composed. The rhyming words in a poem puts various ideas and imaginations of the poet in a sync.

According to the Oxford advanced learner’s dictionary, a Poem can be defined as a piece of writing in which the words are chosen for their sound and the images they suggest, not just for their obvious meanings. The words are arranged in separate lines, usually with a repeated rhythm, and often the lines rhyme at the end.

On The Grasshopper And Cricket Class 8 Extra Questions Question 7.
‘The poetry of earth’ is not made of words. What is it made of, as suggested in the poem?
Answer:
‘The poetry of earth’ is not made of words but it is made of the songs of a grasshopper and the cricket, thus it is made by the music sung by these insects.

On The Grasshopper And Cricket Question Answers Class 8 Question 8.
Find in the poem lines that match the following.
(i) The grasshopper’s happiness never comes to an end.
(ii) The cricket’s song has a warmth that never decreases.
Answer:
(i) In summer luxury — he has never done with his delights.
(ii) the cricket’s song, in warmth increasing ever.

On The Grasshopper And The Cricket Poem Questions And Answers Class 8 Question 9.
Which word in stanza 2 is opposite in meeting to ‘the frost’?
Answer:
The word ‘frost’ in stanza 2 differs in meaning we to word ‘grassy’. Frost has a chilly reference which means a degree or state of coldness sufficient to cause the freezing of water. This meaning it lacks green grass.

On The Grasshopper And Cricket Class 8 Question 10.
‘The poetry of earth continues round the year through a cycle of two seasons’. Mention each with its representative voice.
Answer:
The grasshopper’s takes the lead in summer. He is never done with his delight. On a long winter evening when the forest is silent, the cricket sing with its shrill voice from the stone.

On the Grasshopper and Cricket Extra Questions and Answers Reference to Context

Question 1.
The poetry of earth is never dead:
When all the birds are faint with the hot sun,
And hide in cooling trees, a voice will run
From hedge to hedge about the new-mown mead,
That is the grasshopper’s
he takes the lead In summer luxury
he has never done With his delights, for when tired out with fun
He rests at ease beneath some pleasant weed.

Paraphrase:
Like every poet Keats has been attracted towards the beauty of nature. He finds nature beautiful in all seasons not excluding the hot summer and cold winter. He says that the earth is always singing. When the birds stop singing in the hot summer finding cool place, we find the grasshopper singing and flying from hedge. He sings tirelessly and when it gets tired, it rests beneath some weed.

(i) What is an ongoing process in nature?
(ii) Where do birds go when heat of the sun rise?
(iii) How has the continuity of music maintained?
(iv) Name the figure of speech in the above stanza.
(v) Describe the beauty of the poem.
Answer:
(i) Poetry, rhythm in nature is an unending process giving life to surroundings.
(ii) As the heat of the Sun rise, the birds hide in branches to find a cool place for themselves.
(iii) During the extreme heat when birds stop singing, voice of grasshopper delights with its music.
(iv) Metaphor – Poetry of earth.
(v) The poem is a 14 line Petrarchan sonnet with a rhyming scheme of abba – abba – cdecde.

Question 2.
The poetry of earth is ceasing never:
On a lone winter evening when the frost
Has wrought a silence, from the stone there shrills
The cricket’s song, in warmth increasing ever,
And seems to one in drowsiness half lost;
The grasshopper’s among some grassy hills.

Paraphrase:
When the birds are silent in very cold, the earth never stops and expresses its pleasure through different being like the cricket. It sings the beautiful songs from the stones. It seems to be increasing in warmth every moment and half – asleep human being feels it to be a grasshopper’s song coming from grassy hills.

(i) What is ‘ceasing never’?
(ii) Who takes up the job of providing rhythm during winters?
(iii) From where do the cricket sing?
(iv) What is the impact of cricket and grasshopper music?
Answer:
(i) The poetry of earth is never ceasing.
(ii) Cricket takes up the job by providing rhythm in extreme cold weather.
(iii) The crickets hide under the stone and sing in its shrill voice.
(iv) Crickets and grasshoppers make sounds that soothes the listener even its extreme weathers. The listeners are recovered from their drowsy sleep to listen to the endless fountain of relief with music of the nature.

Online Education Determiners Exercises for Class 11 CBSE With Answers

Determiners Class 11

In Online Education Determiners are words which come before nouns. They contain several classes of words, including pronouns and adjectives. They determine or limit the noun by giving some additional information about it. Determiners show whether a noun refers to is a general or a specific object, person, or place. They indicate which or how many things the noun refers to. Determiners define or limit a noun to the singular or plural. They indicate the amount or quantity. Determiners and nouns together make noun phrases. They make noun phrases with adjectives too. Determiners may precede numerals too.

This grammar section explains English Grammar in a clear and simple way. There are example sentences to show how the language is used. Students can also read NCERT Solutions for Class 11 English to get good marks in CBSE Board Exams. https://ncertmcq.com/determiners-class-11/

Online Education Determiners Exercises for Class 11 CBSE With Answers

Determiners For Class 11

Determiners do not describe a noun; they determine or point it out. Look at these:

  • the child
  • every boy
  • some politicians
  • his picture
  • my house
  • those trees
  • no politician
  • some people

The words in bold letters are determiners.

♦ Some Important Distinctions

Adjectives and Determiners:

An adjective is used to limit the application of a noun by describing it-by giving information about the size, colour, age and other qualities such as:
big cat, black dog, old man

A determiner is used to limit the application of a noun without describing it. We don’t know anything about the quality of the noun, such as this table, my room, many houses

I. Study the noun phrases and identify the words that belong to the class of adjectives and those that belong to the class of determiners. List them as two groups below.

  1. beautiful garden
  2. several towns
  3. think notebooks
  4. your house
  5. wonderful roads
  6. Every Girl
  7. fantastic buildings
  8. fresh milk
  9. many buses
  10. some sugar
  11. that book
  12. blue sky
  13. those pencils
  14. old chair
  15. red rose
  16. all men
  17. tall trees
  18. each boy
  19. delicious food
  20. no work
  21. any bag
  22. those pens
  23. his bicycle
  24. green lawns
  25. hot tea
  26. new car
  27. happy men
  28. fast pitches
  29. much water
  30. her doll

Determiners Class 11 Notes

Determiners Class 11th

♦ Kinds of Determiners:

These classes of words make up determiners:

  1. Articles (a, an, the)
  2. Demonstratives (this, that, these, those)
  3. Possessives (my, our, your, his, her, its, their)
  4. Distributives (either, neither, each, every)
  5. Determiners of quantity and number (some, any, much, several, little, less, enough, no)
    This class also includes – first, second, etc., many, either, neither, few, fewer.
  6. Interrogatives (what, which, whose, etc.)

Examples:

  1. Malabar is a beautiful region.
  2. Some students missed their class.
  3. Our children are well mannered.
  4. All winners of the awards were present?
  5. This book is too old.

Determiners Class 11 Exercise

1. Use of Articles:

A, AN

  1. A and An are used before countable nouns in the singular number, e.g. a question, an answer. A and An are used before a noun to show that it is not specific.
  2. A is used before consonant sounds, e.g. a boy, a house, a chair, a man, etc.
  3. A is used if a word is spelt with a vowel but has a consonant sound, a unit, a university. Here ‘u’ has the consonant sound of ‘y’.
  4. A is used in the following expressions:
    a pity, a pleasure, a rage, a toothache, a noise, at a loss, a loud voice, a headache, a shame, in a hurry, a bad cold, a nuisance, etc.
  5. An is used before a vowel sound, e.g. an eel, an elephant, etc.
  6. An is also used if the word is spelt with a consonant but has a vowel sound, e.g. an hour, an honourable man.

THE

1. The can be used with both countable and uncountable nouns.
It is used to show that the noun is specific, e.g. The first railway line in India was laid in Maharashtra. The phone is out of order.
The information I need is available on the net.
2. The is used with a noun that has already been mentioned,
e.g. I am looking for a student, (not specific)
This is the student I was looking for. (specific)
3. The is also used when a noun is preceded by a superlative adjective-the longest day.
4. The is used for nouns which are common to all people, e.g. the earth, the sun, the moon, the sky.
5. The is useci with uncountable nouns if indicating specifics, e.g. the water is clean, the milk has gone sour.
If an unspecific meaning is indicated, the is not used, e.g. Water is an important component of our food.
6. The is used when we refer to whole group of people-the Indians, the good, the bad.
7. The is used before mountain ranges, rivers, canals, oceans, deserts, holy books, etc e.g. the Bible, the Himalayas, the Ganges, the Pacific Ocean.
8. The is used before the names of newspapers, government departments, museums, libraries, e.g. the Ministry of Health, The Times of India.
9. The is not used before the names of persons, continents, cities, holidays, days of the week, months, subjects of study, etc. We cannot say the Obama, the Asia, the New Delhi, the February, etc.
10. No articles are needed with the names of diseases, names of meals, languages, names of days, etc.
e.g. It is wrong to say the malaria, the dinner,The Wednesday, etc.

Determiner Class 11

II. Fill in the blanks using suitable determiners:

(a) (A/An/The) man went for
(b) (a/an/the) holiday to a place near
(c) (a/an/the) sea. He spent
(d) (every/all/some) his days watching the waves crash against the shore.

Answer:
(a) A
(b) a
(c) the
(d) all

2. Use of Demonstratives:

Demonstratives are pronouns which point out to something. However, when they are followed by nouns, they act as determiners.
this, that
these, those
Notice the difference in their use as pronouns and determiners.
e.g. I want this, (pronoun)
I want this book, (determiner because ‘this’ is followed by a noun.)
‘this’ and ‘that’ are singular,
e.g. this house, this card, that school, that child
‘these’ and ‘those’ are plural.
e.g. these children, these posters, those parents, those buildings.

Determiners Exercise Class 11

III. Identify the demonstrative pronouns and the demonstrative determiners in the following sentences. Write against each sentence whether the underlined word is a pronoun (P) or a determiner (D).

  1. These are my cousins.
  2. I want only that and nothing else.
  3. Those birds are from Siberia.
  4. This is a dirty old trick.
  5. All these children are participating in the activity.
  6. I need these articles urgently.

Answer:

  1. These are my cousins. (P)
  2. I want only that and nothing else. (P)
  3. Those birds are from Siberia. (D)
  4. This is a dirty old trick. (P)
  5. All these children are participating in the activity. (D)
  6. I need these articles urgently. (D)

Class 11 Determiners

3. Use of Possessives:

Possessives are pronouns which indicate that a thing belongs to someone: mine, ours, yours, his, hers, its, theirs
e.g. This is mine and that is yours.
However, if the possessives are followed by nouns, they are possessive determiners,
e.g. his face, her smile, their happiness, my child, our house, your blessings

Determiners For Class 11th

IV. Identify the possessive pronouns and the possessive determiners in the following sentences. Write against each sentence whether the underlined word is a pronoun (P) or a determiner (D).

  1. This book is his, not mine.
  2. My son is coming today.
  3. These flowers are ours.
  4. Those fruits are yours.
  5. His brother is going to the United States.
  6. Her smile is radiant.

Answer:

  1. This book is his, not mine. (P)
  2. My son is coming today. (D)
  3. These flowers are ours. (P)
  4. Those fruits are yours. (P)
  5. His brother is going to the USA. (D)
  6. Her smile is radiant. (D)

Determiners Class 11 Exercises

4. Use of Distributives:

Each, Every, All

Each and Every indicate single units in a group. Each refers to individual members of a small group, while every to members of a large group. Sometimes both each and every can be used, e.g. Each of his five brothers was learned.

Every Indian must vote.

Every/Each one was given aid.

All is used to indicate the whole group rather than its components, e.g. All the students of class XI A have passed.

Determiners Class 11 Questions

2. Study the three sentences given below showing the use of each, every and all.
Children need proper education to become good citizens.
Each child needs proper education to become a good citizen.
Every child needs proper education to become a good citizen.
All children need proper education to become good citizens.

V. Write three sentences for each given sentence using distributive determiners as shown above. Pay particular attention to the desired focus.

(i) Questions should be answered.
(a) …………………………………………………………………..
(b) …………………………………………………………………..
(c) ……………………………………………………………………

(ii) Members must be graduates.
(a) …………………………………………………………………..
(b) …………………………………………………………………..
(c) ……………………………………………………………………

(iii) Villages must be connected by road.
(a) …………………………………………………………………..
(b) …………………………………………………………………..
(c) ……………………………………………………………………

(iv) Indian games deserve patronage.
(a) …………………………………………………………………..
(b) …………………………………………………………………..
(c) ……………………………………………………………………
Answer:

(i) (a) Each question should be answered.
(b) Every question should be answered.
(c) All questions should be answered.

(ii) (a) Each member must be a graduate.
(b) Every member must be a graduate.
(c) All members should be graduates.

(iii) (a) Each village must be connected by road.
(b) Every village must be connected by road.
(c) All villages must be connected by road.

(iv) (a) Each Indian game deserves patronage.
(b) Every Indian game deserves patronage.
(c) All Indian games deserve patronage.

Either, Neither

Either has two meanings:
(a) any one of the two different things or persons, e.g. You can choose either course.
(b) both – Prefects were lined up on either side of the entrance.
Neither is the opposite of either. It means not the one nor the other, e.g. Neither politician knew what he was promising.

Determiners Questions For Class 11

VI. Fill in the blanks using ‘either’ or ‘neither’.

  1. either
  2. neither
  3. Neither
  4. either
  5. either
  6. Neither

5. Use Of Determiners of Quantity:

Many, Much, Some, Any
Many is used only with plural nouns and to show a large number.
Much is used with uncountable nouns indicating a large quantity.

FEW, A FEW, THE FEW
Few means very small numbers, not enough and below expectation. A few indicates some numbers. The few indicates very small specific numbers, e.g.
Few students are interested in learning languages.
A few students are good at English.
The few students who are good usually come from educated families.

Determiners Class 11 Examples

VII. Write two sentences for each given sentence using determiners of quantity as shown above. Pay particular attention to the desired meaning. One has been done for you.
(i) Boys were able to speak good English.

(+) A few boys were able to speak good English.
(-) Few boys were able to speak good English.

(ii) My friends are good orators.
(+) ……………………………………………………………………
(-) …………………………………………………………………….

(iii) People are conscious of their duties.
(+) ……………………………………………………………………
(-) …………………………………………………………………….

(iv) Questions were asked after the lecture.
(+) ……………………………………………………………………
(-) …………………………………………………………………….

(v) Shopkeepers responded to the bandh call.
(+) ……………………………………………………………………
(-) …………………………………………………………………….

Answer:
(ii) (+)A few of my friends are good orators.
(-) Few of my friends are good orators.

(iii) (+) A few people are conscious of their duties.
(-) Few people are conscious of their duties.

(iv) (+) A few questions were asked after the lecture.
(-) Few questions were asked after the lecture.

(v) (+) A few shopkeepers responded to the bandh call.
(-) Few shopkeepers responded to the bandh call.

Little, A Little

Look at these two sentences.
We had little rain this year.
We had a little rain this year.
Little is used when the speaker wants to convey the meaning ‘not enough or below expectation’. Little expresses a negative meaning.
A little is used when the speaker wants to convey the meaning ‘a small amount but not much’. A little expresses a positive meaning.

Determiners Tenses Class 11

VIII. Now, write two sentences for each given sentence as shown in the above examples. Pay particular attention to the desired meaning. One has been done for you.

(i) The aid reached the victims.
(+) A little aid reached the victims.
(-) Little aid reached the victims.

(ii) Work could be done in the project.
(+) …………………………………………………….
(-) ……………………………………………………..

(iii) Progress has been made under the poverty alleviation programme.
(+) ………………………………………………………………….
………………………………………………………………………..
(-) ………………………………………………………………….
………………………………………………………………………..

(iv) Improvement is visible in the working of the railways.
(+) ………………………………………………………………….
………………………………………………………………………..
(-) ………………………………………………………………….
………………………………………………………………………..

(v) Enthusiasm was shown by the masses.
(+) ………………………………………………………………….
(-) ………………………………………………………………….

Answer:
(ii) (+) A little work could be done in the project.
(-) Little work could be done in the project.

(iii) (+) A little progress has been made under the poverty alleviation programme.
(-) Little progress has been made under the poverty alleviation programme.

(iv) (+) A little improvement is visible in the working of the railways.
(-) Little improvement is visible in the working of the railways.

(v) (+) A little enthusiasm was shown by the masses.
(-) Little enthusiasm was shown by the masses.

SOME, ANY

Some and Any show not a very large quantity.
Some is used in affirmative sentences, e.g. There is some water in the pitcher.
Any is used in interrogative or negative sentences, e.g. Is there any water in the pitcher?
There isn’t any water in the pitcher.
Now, look at these sentences.

  • He hasn’t got any roses in his garden.
  • There isn’t any milk left in the jug.

Any is used in negative statements with countable plural nouns like roses and with uncountable nouns like milk.

Now, look at these sentences.

  • There were scarcely any spectators in the stadium.
  • There is hardly any sugar left in the pot.

Any is also used in positive statements which have words like scarcely and hardly because they express an underlying negative idea.
Look at these sentences.

• I have bought some stamps in case you need them.
• There is still some milk left in the jug.

Some is used in positive statements with countable plural nouns like stamps and with uncountable , nouns like milk.

Determiners Exercise For Class 11

IX. Now, fill in the blanks in the following sentences with ‘some’ or ‘any’ as needed.

  1. Our players missed very good chances of scoring.
  2. The country mustn’t tolerate anti-national activity.
  3. There isn’t sense in our waiting here.
  4. We must do serious thinking about it.
  5. There is hardly hope of his recovery.

Answer:

  1. some
  2. any
  3. any
  4. some
  5. any

Now, look at these sentences:

  • Do you own any land in this area?
  • Have you got any money?

Any is also used in general questions which are intended for getting information.

Now, look at these sentences:

  • Could you do some typing for me?
  • Would you like to have some more biscuits?

Some is also used in questions but only in those questions which suggest offers or requests.

Determiners Examples Class 11

X. Now, make questions using the given phrases and then answer them using ‘some’ and ‘any’. Pay attention to the desired meaning in the answer. One has been done for you.

(i) letters for me.
Are there any letters for me?
+ Yes, there are some letters for you.
– No, there aren’t any letters for you.

(ii) express buses for that town.
………………………………………………………………….
(+) ……………………………………………………
(-) …………………………………………………….

(iii) jobs that women can’t do.
……………………………………………………………………
(+) ……………………………………………………
(-) …………………………………………………….

(iv) evidence that the system works.
……………………………………………………………………
(+) ……………………………………………………
(-) …………………………………………………….

Answer:
(ii) Are there any express buses for that town?
(+) Yes, there are some express buses for that town.
(-) No, there aren’t any express buses for that town.

(iii) Are there any jobs that women can’t do?
(+) Yes, there are some jobs that women can’t do.
(-) No, there aren’t any jobs that women can’t do.

(iv) Is there any evidence that the system works?
(+) Yes, there is some evidence that the system works.
(-) No, there isn’t any evidence that the system works.

Determiners 11th Class

XI. Now, make a question using each of the given word groups to serve as offers or requests. The first one has been done for you.

Determiners 11th Class
Answer:

  1. May I bring some of my friends with me?
  2. Would you like to have some more fruit?
  3. Would you like to see some recent publications?

6. Use of Interrogatives

Determiners that are used for framing questions are called interrogatives. ‘What’, ‘which’, ‘whose’, ‘how much’, ‘how many’ are interrogative determiners.

whose house, which city, how many rulers, how much water, what money

Determiners In English Grammar Class 11

XII. Fill in the blanks by using suitable interrogatives.

  1. In …………….. book do we find the character Quasimodo?
  2. To ……………. notes are you referring?
  3. ……………….. baskets are meant for fruits?
  4. ………………. names have you given to the twins?
  5. ………………. students are there in the zonal football team?
  6. ………………… flour is needed to make a cake for ten people?
  7. ………………. books did you read during the summer vacation?
  8. ……………….. bat is heavier, Sachin’s or M.S. Dhoni’s?

Answer:

  1. which
  2. whose
  3. Which
  4. What
  5. How many
  6. How much
  7. Which
  8. Whose

Class 11th Determiners

XIII. In the passage given below, one word has been omitted in each line. Write the missing word along with the word that comes before and the word that comes after against the correct blank number. Underline the word that forms your answer.

1. Being primary school teacher
in god-forsaken interiors of Odisha
is not easy job for Hrydaynath
Panda. Salary is ridiculously
low; drop-out rate is abnormally
high and Belgaon Asram school’s
infrastructure abysmal. There are only couple
of rooms and classes have to be held in open.
Class 11th Determiners
Answer:
Determiners Class 11 Format, Examples, Samples, Topics 4

Question 2.
As always, Government is trying
to make situation look less grim.
“We have requested Centre for financial
help and stone will be left unturned
to mitigate people’s problems,”
says senior minister. Free
kitchens will be started in blocks
in affected areas.
Determiners Class 11 Format, Examples, Samples, Topics 5
Answer:
Determiners Class 11 Format, Examples, Samples, Topics 6

XIV. Fill in the blanks with suitable determiners.

Two friends meet in their school canteen. They are going to have their lunch.

Namit: You can share (a) ………….. lunch and I’ll share yours.
Vipul: Oh, that’ll bejiice. I’ll have (b) …………. good things to eat.
Namit: I’m afraid. I don’t have much to eat. There are only two sandwiches and (c) ………….. apple. Here’s your sandwich. And you can take half (d) ………….. apple.
Vipul: Thanks. They look delicious. I have four poories and some pickles.
We can have two poories each. And we will order for (e) ……………………. drink. What would you
like, tea or coffee?
Namit: I’ll have tea.
Vipul: So shall I.

Answer:
(a) my
(b) some
(c) an
(d) the
(e) a

XV. Fill in the blanks with suitable determiners.

(a) ……………….. abbreviation is (b) ……………… shortened form of (c) ……………… word or a group of words.
It is used to save time and space. (d) ………………… abbreviations are also used while speaking. Most of
(ie) dictionaries include (f) ……………. list of commonly used abbreviations.
Answer:
(a) An
(b) the
(c) a
(d) Some
(e) the
(f) a

XVI. Complete the passage using determiners.

We only take (a) ……………… few seconds to pass through (b) ……………. earth’s atmosphere which is hardly thicker than (c) ……………. skin of (d) ………………. plum or (e) ……………… peach. As we pass through, we gradually leave behind particles of air, dust which scatter (f) …………….. sun’s light and
make the sky look blue.

Answer:
(a) a
(b) the
(c) the
(d) a
(e) a
(f) the

XVII. Complete the passage with suitable determiners.
My friend lived on (a) ……………. the first floor of (b) ……………. recently renovated old house on (c) ………….. river Beas. She was afraid of burglars and always locked up (d) ……………… house carefully before going to bed. She also took the precaution of looking under (e) …………….. bed to see if (f) …………….. burglar was hiding there.
Answer:
(a) the
(b) a
(c) the
(d) the
(e) the
(f) any

XVIII. Complete the following passage with suitable determiners.

I have met (a) ……………. people in my life but (b) …………… person who has influenced me (c) ………….. most is Mother Teresa. To me she has been (d) ……………. symbol of true religion, (e) people can do what she has done. If we adopt (f) …………….. ideology, the world would become a better place to live in.
Answer:

(a) many
(b) the
(c) the
(d) a
(e) Few
(f) her

XIX. Fill in the blanks with determiners.

(a) ………………. entire polling station seemed to be (b) ……………….. huge mass of humanity. It was (c) ……………….. public holiday, (d) …………….. old man insisted on talking to (e) ……………… polling officer. He refused to show (f) ……………… identity slip.

Answer:
(a) The
(b) a
(c) a
(e) the
(f) his

XX. Complete the following passage with suitable determiners.

Our principal is (a) …………… man of honesty and integrity. He does not accept (b) ……………. gifts from students, teachers or parents. On (c) ………………. occasion of (d) …………….. Children’s Day, he rewarded (e) …………….. students for (f) ……………….. honesty.

Answer:
(a) a
(b) any
(c) the
(d) the
(e) many
(f) their

XXI. Fill in the blanks with suitable determiners.

You’re going to take life away from (a) …………….. man with (b) …………… belief that you will give it
back. This is (c) ………………. enormous step, (d) …………….. precious life is at stake. You must perform to
the best of (e) …………… ability to save (f) ………………. the patient’s life.

Answer:
(a) a
(b) the
(c) an
(d) A
(e) your
(f) the

XXII. Fill in the blanks with suitable determiners.

John Boyd Dunlop did not have (a) ……………. sturdy health which (b) ……………… farmer requires. So his parents let him study for (c) ………………. another profession. Therefore, he chose veterinary medicine and took (d) ………………. diploma in it from Edinburgh.
Answer:

(a) the
(b) a
(c) some
(d) a

XXIII. Fill in the blanks using determiners.

(a) Doubt was not (i) ………….. new emotion. It was (ii) ……………. oldest enemy. Yet I had not expected it to come this way. I had become accustomed to (iii) ……………… presence in (iv) ………….. being.
(b) There are (i) …………… broken chairs in (ii) …………….. corner of (iii) …………….. room.
(c) There is (i) ……………… egg on this plate.
Answer:

(a) (i) a
(ii ) my
(iii) its
(iv) my

(b) (i) some
(ii) the
(iii) this

(c) (i) an

Report Writing Class 12 Format, Examples, Topics, Samples, Types

Report Writing Class 12

In Online Education A report is a factual description of an issue or a problem. A report is written for a clear purpose and for a particular audience. Various forms of reports are: newspaper reports, inquiry reports, progress or action taken report, a police report, a report of a meeting, etc., each having a distinct character and format.

This grammar section explains English Grammar in a clear and simple way. There are example sentences to show how the language is used. NCERT Solutions for Class 12 English will help you to write better answers in your Class 12 exams. Because the Solutions are solved by subject matter experts. https://ncertmcq.com/report-writing-class-12/

Online Education for Report Writing Class 12 Format, Examples, Topics, Samples, Types

Report Writing Class 12

Newspaper Report

A newspaper report must be comprehensive, but brief, factual yet interesting. Hence, factual reporting is the accurate and truthful coverage of an event.

  • It is a brief review of a situation or a process that includes only the relevant points and information.
  • It is usually written in the third person and indirect speech.
  • Passive voice is used.
  • The language is neutral and figurative.
  • Ornamental language is avoided. The content should include answers to the questions when, where, why and how on the topic to be written about.

Characteristics of a Newspaper Report

  • A news report should have a headline, date, place of origin of the news.
  • It must contain the byline/name of the reporter.
  • It must contain only relevant information.
  • The newspaper report must have appropriate language for a report.
  • It must contain a logical development of ideas, i.e. causes/reasons, effects or consequences.
  • It must include the opinions of people and it should be comprehensive. It should contain views of all sides involved.
  • Personal pronouns are to be avoided.

Format:
A newspaper report consists of the following elements:

Headline:
Every news article has a headline to attract the attention of the reader. The headline must state the topic of the news in a strong, short phrase or statement.

A headline must be:

  • catchy
  • brief-articles, prepositions, etc. must be left out wherever possible; abbreviations and shortened word-forms may be used wherever required

Byline
Since this is your news article, you need to let the reader know who wrote it. The line with your name on it is called the ‘By’ line because it tells by whom the article is written. Write the word ‘By’ followed by your first and last name.

Lead Paragraph
A lead paragraph usually answers the questions: Who, What, Where, When, Why. The report usually begins with the name of the city where the report is being written and the date when it is being written.

Remember to write about these in your lead paragraph.

  • day, date, and time of the day when the incident happened
  • name/names of the person(s)/event(s), etc. that the news is about
  • a place where the incident happened
  • details of the incident
  • reasons why the incident happened

Report Writing Format Class 12

Paragraph 2
The second paragraph should tell the reader how the incident happened in detail. Narrate the incident in chronological order.

Paragraph 3
Eyewitness accounts add to the authenticity of the news. Also, they may interest the reader. Include some quotes from the eyewitness’ comments. Also, describe what they felt about the incident.

Paragraph 4

  • Describe the future course of action is planned.
  • Remember to use simple, clear but formal language.

Report Writing Examples For Class 12 Question 1.
You are Pranjal/Paakhi. You have received training in first aid, as a member of the Red Cross Society, arranged by your school. Prepare your report for the school magazine about your training in 100–125 words.

Report Writing Class 12 Pdf Question 2.
Cultural Society Sunshine Public School, Nellore organised an Adult Literacy Camp in its neighbourhood. Write a report in 150-200 words on the camp for your school newsletter. You are P.V. Sunitha, Secretary. Use the following clues: no. of volunteers – hours spent in teaching – location of the class – chairs, blackboards – no. of people attending the camp – benefit (10 marks) [CBSE (Delhi) 2017]

Answer:

Adult Literacy Camp
By P.V. Sunitha, Secretary, Cultural Society, Sunshine Public School,
Nellore

Nellore, May 01, 20XX: A commendable step was taken by the members of our Cultural Society of the school to organise a Literacy Camp to invite members of the local school- clubs, residents of various welfare organisations, and several NGOs to be a part of it. The camp started around 8 a.m. It was inaugurated by the District Literacy Chairperson, Dr. Nitin Rahtogi. Various NGOs, local clubs and schools had sent their representatives.

The total number of volunteers registered was 450. There were six experienced trainers who systematically explained with tools how the literacy programme is to be introduced in different pockets and continued in these phases to reach its target annually. Classes were held in six different spots within a short radius of the camp. The main tools were blackboards, chairs, basic texts on reading, writing and arithmetic. The camp lasted for five hours with a snack break for half an hour.

The volunteers expressed their gratitude for getting the opportunity of learning more than they expected, for the beneficial interactive sessions and for getting a scope to clear their doubts. The camp came to an end with the vote of thanks from the President of the host club.

Class 12 Report Writing Question 3.
Your school is situated near a road intersection. Last week, in the morning, a bus coming at a great speed overturned when it braked suddenly. Senior students of your school rushed out and did everything to save the passengers. You were part of the rescue efforts. Write a report in 150-200 words on the accident and your friends’ role, for your school newsletter. You are George/Mary. (10 marks) [CBSE (AI) 2017]

Answer:

Bus Overturns on NH2 and NHPC Crossing
By Mary

Pari Chowk, March 10, 20XX

At about 8.30 a.m., yesterday, a private bus, carrying passengers, of Rome S-22, coming at break-neck speed, while trying to overtake a Honda City, braked suddenly as a boy ran to cross over the other side of NHPC or Pari Chowk. In seconds, the bus overturned. It could have been that the driver lost full control of the bus and the breaks failed or the size of the bus was incompatible with its speed and the sudden break. Passengers could be heard yelling and crying for help. As the school had not started, the High School students near the school gates immediately rushed to the spot, tried to get ladders and after breaking the glass panes, dragged passengers who were terrified and injured. Some were already with broken heads and limbs. Local help came in ten-fifteen minutes. The ambulance arrived and the police from the nearby police station on being called up by a senior student arrived to help in the rescue operation. There were 40 passengers on the whole. 3 women passed away, 5 children had serious injuries, some were moved to % the nearby hospital, while a few were given first-aid by the school medical team and sent away. The driver had serious head injury and a broken arm, while the helper died on spot.

It is high time that drivers become more responsible, frequent police patrol is arranged for at intersections and heavy penalty is imposed on crossing speed limits.

Report Writing For Class 12 Question 4.
Last month, Adventure Club, Sunshine Public School, Rampur organised a trek around Corbett National Park. During the eight-hour trek, the group lost its way but ultimately reached the starting point. On return, you, Asim/Asha, the group leader made a report on the trek to the Principal. Write his/her report in 150-200 words. (10 marks) [CBSE (F) 2017]

Answer:

School Trip: Trek Around Corbett National Park
By Asim

The Adventure Club of our school organised an eight-hour trek around Corbett National Park. A group of 30 students and 3 teachers embarked on the trip. It was a fun-filled trip away from school and at home. Trekking through beautiful forests provided a glimpse of the beautiful scenic foothills and the Himalayan Mountain.

We reached Corbett in the morning at 6:00 a.m. in our school bus. After reaching there, we had our breakfast, which was not only healthy but also tasty. Then we began preparation for the trek. The teachers divided all the students in three groups for the trek. Each group was to be led by a teacher. Our guide gave us all the instructions of dos and don’ts during the trek. We were all very excited and enthusiastic.

Report Writing Topics For Class 12 Question 5.
Traffic police have launched a special drive against pollution-causing vehicles. This has led to traffic jams and crowds at important intersections. Write a report in 150-200 words to be published in the ‘Chennai Times’. You are Prince/Priya, 12, M.G. Road, Adayar, Chennai. (10 marks) [CBSE Delhi 2013]

Answer:

Drive against Pollution-causing Vehicles
-Priya
Chennai Times

Traffic jams are a common sight in Chennai. But these days, they are on a rise. All because of the special drive-by traffic police against pollution-causing vehicles. Important intersections have been chosen and the concerned people can be seen in groups stationed at these points. Each and every vehicle is being stopped and their ‘No Pollution certificates’ are being checked. ? 1000/- is being charged as fine for the lapse. This drive is a positive step in achieving a pollution-free environment but has created a lot of inconvenience for the public and the daily commuters, as it has led to traffic jams. People are stranded on the roads for hours, getting late for their place of work. Though the new drive is highly appreciated by the people, they also feel that it is important that the public should not suffer. The authorities must find an alternative way for such a check that would cause less inconvenience to the general public.

Report Writing Class 12 Examples Question 6.
You are Karan/Kirti of L.M. Memorial Public School, Dwarka. Your school has adopted a village as a social responsibility. Students are being taken to teach the children of the village on a regular basis. Write a report, for your school magazine, on the various other programmes organised there in 150-200 words. (10 marks) [CBSE Sample Paper 2019]

Answer:

Village Adoption – A Social Responsibility
By Karan

Recently, the students of L.M. Memorial Public School were taken to a village in the Periphery of Delhi. This village named as ‘Khyala’ near Najafgarh was adopted by our school for a month as a social responsibility. The main motive for this adoption was to spread awareness among the people about cleanliness, adult education, girl- child education, and removing the social evil of poverty and illiteracy. The students from Classes IX and XII participated in it.

The village students were given elementary knowledge. They were taught the alphabet, addition, subtraction, etc. Not only this, they cleaned the surroundings of the village and showed the people the need to maintain cleanliness through a street play. Old people were also attended with great care. The students provided them with some necessary day-to-day things. It was innovative and informative on the part of the villagers. The students learned how to connect with the roots of our country. Overall, it was a memorable experience for all to serve the people of this village.

Report Writing Questions For Class 12 Question 7.
An NGO, ‘Health for All’ organised a health check-up camp in a slum at Amritsar. You are Ruchika/Raunak, and you visited the camp. Write a report in 150-200 words covering arrangements such as registration, check-up, tests carried out, etc. (10 marks) [CBSE 2019 (1/2/1)]

Answer:

Health Check-up Camp
By Ruchika

Amritsar, March 2, 20XX
A medical health care camp was set up in Amritsar by the NGO-Health. In the camp, proper medical treatment of the people of Amritsar and nearby areas was done and remedial measures were provided, all free of cost, including the basic medicines required for early recovery.

Students of Guru Nanak University, Amritsar noted down the details of the people of slum area who had come for the health check-up. People were encouraged to do simple activities on a regular basis to get rid of excessive body pain. A Blood Pressure (BP) check was performed on every patient. After that, they were sent to their respective doctors where they were appropriate given the right directions regarding their health.

A large majority of people were suffering from chronic back pain, swelling, watery eyes and high/low BP. This is a prime example of how the slums can be served appropriately if we are interested. We need not be high-profile citizens to bring about a change in society. It is the willingness and enthusiasm which comes out from within that encourages you to work for the betterment of others.

Report Writing Topics Question 8.
As part of an Entrepreneurship project the commerce students of your school recently launched a product called oatlicious. They not only set up a company to produce the product but also designed its advertising and marketing strategy. Write a report in about 150-200 words for your school magazine giving details of the enterprise and its launch. You are Akshay/Akshita of Graham Public School, Indore (10 marks)

Answer:
Oatlicious – The product of Entrepreneurship project By Akshita
July 25, 20XX: The commerce students of our school recently launched a new breakfast product, Oatlicious. This was a part of their entrepreneurship project. The students went ahead to not only set up a company to produce the product but also designed its advertising and marketing strategy. Just like its name, the product tastes and looks delicious.

The product box has a picture of a huge bowl of delicious looking oats. The group also revealed that they have already started selling the product in small 10 rupees pack at the canteen. On the first day of the launch, the students gave free oat packets to the first ten students. Baveen, one of the team members revealed how much struggle they had to face initially to come up with an innovative idea for the project. According to him, it was just a project earlier but now it has become their dream. Baveen and his team found it hard to get sponsors earlier. He revealed how they did part-time jobs and asked their parents to sponsor the project. Now that they are successful, Vibha, one of the teammates revealed that they are getting offers from many companies. They have, however, not decided anything and are just happy and thankful for the response they got.

Report Writing Class 12 Format Question 9.
You are Sandhya/Sohan an active member of the Animal Lovers’ Club which works for the welfare of animals by preventing cruelty to them. Recently, you visited Mahatma Gandhi Animal Care Home. You were pleasantly surprised to see the good treatment given to the animals. Write a report in 150-200 words on your visit. You may use the following points: (10 marks) [CBSE (Compartment) 2018]

injured dogs and cats-abandoned pets-very old animals-all very well cared for-well-equipped medical room-veterinary surgeon-green surroundings.

Answer:
Visit Mahatma Gandhi Animal Care Home
By Sandhya, Member of Animal Lovers’ Club

Recently, I visited Mahatma Gandhi Animal Care Home with my team. The existence of animals adds charm to the natural surroundings. They too are part of natural habitat. People leave them if they become old or have a disease. These abandoned pets are given shelter at Animal Care Home. My team was really surprised to see the care of these animals when I saw how well they were being treated. There was a well-equipped medical room.

A veterinary surgeon was also present. Animals were allowed to live in the natural surrounding there having their separate living places, huts, and kennels, etc. Injured dogs and cats were also given a congenial environment. This was a positive step on the part of Animal Care Home. All the abandoned animals are searched and then brought to this home by the officials where they are medically and emotionally cared for. Overall, the visit to this Animal Home proved fruitful as it gave inspiration to the youth (members) to spread awareness to love animals rather than treating them with cruelty.

Online Education NCERT Solutions for Class 6 Sanskrit Chapter 11 पुष्पोत्सवः

We have given detailed Online Education NCERT Solutions for Class 6 Sanskrit Ruchira Chapter 11 पुष्पोत्सवः Textbook Questions and Answers come in handy for quickly completing your homework.

Online Education NCERT Solutions for Class 6 Sanskrit Ruchira Chapter 11 पुष्पोत्सवः

Class 6th Sanskrit Chapter 11 पुष्पोत्सवःTextbook Questions and Answers

अभ्यासः

प्रश्न 1.
वचनानुसारं रिक्तस्थानानि पूरयत- (वचनानुसार रिक्त स्थान भरिए- Fill in the blanks according to number.)
NCERT Solutions for Class 6 Sanskrit Chapter 11 पुष्पोत्सवः 1
उत्तर:
NCERT Solutions for Class 6 Sanskrit Chapter 11 पुष्पोत्सवः 2

प्रश्न 2.
कोष्ठकेषु प्रदत्तशब्देषु समुचितपदं चित्वा रिक्तस्थानानि पूरयत- (कोष्ठकों में दिए गए शब्दों में उचित पद चुनकर रिक्त स्थान भरिए- Fill in the blanks by using the appropriate words given in brackets.)

(क) …………….बहवः उत्सवाः भवन्ति। (भारतम्/भारते)
(ख) ………………. मीनाः वसन्ति। (सरोवरे/सरोवरात्)
(ग) जनाः ……………. पुष्पाणि अर्पयन्ति। (मन्दिरेण/मन्दिरे)
(घ) खगाः ……………. निवसन्ति। (नीडानि/नीडेषु) ङ्के
(ड) छात्राः …….. प्रयोग कुर्वन्ति। (प्रयोगशालायाम्/प्रयोगशालायाः)
(च) ……………. पुष्पाणि विकसन्ति। (उद्यानस्य/उद्याने)
उत्तर:
(क) भारते
(ख) सरोवरे
(ग) मंदिरे
(घ) नीडेषु
(ङ) प्रयोगशालायाम्
(च) उद्याने

प्रश्न 3.
अधोलिखितानि पदानि आधृत्य सार्थकानि वाक्यानि रचयत- (निम्नलिखित पदों के आधार पर सार्थक वाक्य बनाइए- Frame meaningful sentences on the basis of words given below.)
NCERT Solutions for Class 6 Sanskrit Chapter 11 पुष्पोत्सवः 3
उत्तर:
– वानराः वृक्षेषु कूर्दन्ति।
– सिंहाः वनेषु गर्जन्ति।
– मयूराः उद्याने नृत्यन्ति।
– मत्स्याः जले तरन्ति।
– खगाः आकाशे उत्पतन्ति।

प्रश्न 4.
प्रश्नानाम् उत्तराणि लिखत- (प्रश्नों के उत्तर लिखिए- Answer the questions.)

(क) जनाः पुष्पव्यजनानि कुत्र अर्पयन्ति?
(ख) पुष्पोत्सवस्य आयोजन कदा भवति?
(ग) अस्माकं भारतदेशः कीदृशः अस्ति?
(घ) पुष्पोत्सवः केन नाम्ना प्रसिद्धः अस्ति?
(ङ) मेहरौलीक्षेत्रे कस्याः मन्दिरं कस्य समाधिस्थलञ्च अस्ति?
उत्तर:
(क) जनाः पुष्प व्यजनानि योगमाया मन्दिरे बख्तियारकाकी इति अस्य समाधिस्थले अर्पयन्ति।
(ख) पुष्पोत्सवस्य आयोजन ऑक्टोबर्मासे भवति।
(ग) अस्माकं भारतदेश: उत्सवप्रियः अस्ति।
(घ) पुष्पोत्सवः ‘फूल वालों की सैर’ इति नाम्ना प्रसिद्धः अस्ति।
(ङ) मेहरौलीक्षेत्रे योगमायाः मन्दिरम् बख्तियारकाकी इति अस्य समाधिस्थलम् च अस्ति।

प्रश्न 5.
कोष्ठकेषु दत्तेषु शब्देषु उचितां विभक्तिं प्रयुज्य वाक्यानि पूरयत- (कोष्ठक में दिए गए शब्दों में उचित विभक्ति लगाकर वाक्य पूरे कीजिए- Complete the sentences by using appropriate case form in the words given in brackets.)

यथा-सरोवरे मीनाः सन्ति। (सरोवर)

(क) ……………… कच्छपाः भ्रमन्ति। (तडाग)
(ख) …………. सैनिकाः सन्ति। (शिविर)
(ग) यानानि ……………….धावन्ति। (राजमार्ग)
(घ) रत्नानि सन्ति। (धरा)
(ङ) बालाः …………….. क्रीडन्ति। (क्रीडाक्षेत्र)
उत्तर:
(क) तडागे
(ख) शिविरे
(ग) राजमार्गे
(घ) धरायाम्
(ङ) क्रीडाक्षेत्रे।

प्रश्न 6.
मञ्जूषातः पदानि चित्वा रिक्तस्थानानि पूरयत- (चुनकर रिक्त स्थान भरिए- Fill in the blanks by picking out words from the box.)

पुष्पेषु गङ्गायाम् विद्यालये वृक्षयोः उद्यानेषु ।

(क) वयं ………….पठामः।
(ख) जनाः …………. भ्रमन्ति।
(ग) ……………. नौकाः सन्ति। भ्रमरा: गुञ्जन्ति।
(ङ) फलानि पक्वानि सन्ति।
उत्तर:
(क) विद्यालये
(ख) उद्यानेषु
(ग) गङ्गायाम्
(घ) पुष्पेषु
(ङ) वृक्षयोः।

Class 6th Sanskrit Chapter 11 पुष्पोत्सवः Additional Important Questions and Answers

प्रश्न 1.
अधोदत्तं गद्यांशं पठत प्रश्नान् च उत्तरत। (निम्नलिखित गद्यांश पढ़िए और प्रश्नों के उत्तर दीजिए। Read the extract given below and answer the questions.)

देहल्याः मेहरौलीक्षेत्रे ऑक्टोबर्मासे अस्य आयोजनम् भवति। अस्मिन् अवसरे तत्र बहुविधानि पुष्पाणि दृश्यन्ते। परं प्रमुखम् आकर्षणं तु अस्ति पुष्पनिर्मितानि व्यजनानि।

I. एकमदेन उत्तरत
(क) पुष्पोत्सवस्य आयोजनं कदा भवति? ……………….
(ख) अस्मिन् अवसरे बहुविधानि कानि दृश्यन्ते? ……………….

II. पूर्णवाक्येन उत्तरत-
(क) पुष्पोत्सवस्य आयोजनं कुत्र भवति? ……………….
(ख) अत्र प्रमुखम् आकर्षणम् किम्? ……………….

III. भाषिक – कार्यम्

1. यथानिर्देशम् रिक्तस्थानपूर्तिं कुरुत
NCERT Solutions for Class 6 Sanskrit Chapter 11 पुष्पोत्सवः 4

2. विलोमपदं चित्वा लिखत- अत्र

3. परस्परमेलनं कृत्वा लिखत।
(क) अस्मिन् — आकर्षणम्
(ख) बहुविधानि — व्यजनानि
(ग) प्रमुखम् — पुष्पाणि
(घ) पुष्पनिर्मितानि — अवसरे
उत्तर:
I.
(क) ऑक्टोबर्मासे
(ख) पुष्पाणि

II.
(क) पुष्पोत्सवस्य आयोजनं देहल्याः मेहरौलीक्षेत्रे भवति।
(ख) अत्र प्रमुखम् आकर्षणम् अस्ति पुष्पनिर्मितानि व्यजनानि।

III.
NCERT Solutions for Class 6 Sanskrit Chapter 11 पुष्पोत्सवः 5

2. तत्र

3. (क) अस्मिन् – अवसरे
(ख) बहुविधानि – पुष्पाणि
(ग) प्रमुखम् – आकर्षणम्
(घ) पुष्पनिर्मितानि – व्यजनानि

प्रश्न 2.
मञ्जूषायाः सहायतया गद्यांशं पूरयत। (मञ्जूषा की सहायता से गद्यांश पूरा कीजिए। Complete the extract with help from the box.)

क्रीडाः, जनान्, उत्सवः, प्रचलति, दिवसेषु

अयम्
(i) …………. दिवसत्रयम् यावत् प्रचलति। एतेषु
(ii) पतङ्गानाम् उड्डयनम् , विविधाः
(iii) …………. मल्लयुद्धम् चापि
(iv) …………. विगतेभ्यः द्विशतवर्षेभ्यः पुष्पोत्सवः
(v) …………. आनन्दयति।
उत्तर:
(i) उत्सवः
(ii) दिवसेषु
(iii) क्रीडाः
(iv) प्रचलति
(v) जनान्।

प्रश्न 3.
कोष्ठकदत्तशब्दे उचितां विभक्ति प्रयोज्य वाक्यानि पूरयत। (कोष्ठक में दिए गए शब्दों में उचित विभक्ति का प्रयोग करके वाक्य पूरे कीजिए। Using the correct case ending in , the word given in bracket, complete the sentences.)

(क) बालकाः ……………. तरन्ति। (तरणताल – एकवचन)
(ख) मयूराः …………….नृत्यन्ति। (उपवन – एकवचन)
(ग) ……………….. कमलानि शोभन्ते। (सरोवर – बहुवचन)
(घ) ………. वानरः कूर्दीति। (वृक्ष – एकवचन)
(ङ) जनाः ………………. वसन्ति। (गृह – बहुवचन)
उत्तर:
(क) तरणताले
(ख) उपवने
(ग) सरोवरेषु
(घ) वृक्षे
(ङ) गृहेषु।

प्रश्न 4.
संस्कृतपर्यायं लिखत। (संस्कृत पर्याय लिखिए। Give the Sanskrit equivalent.)

(क)
(i) घोंसलों में – …………… (नीड)
(ii) बेल पर – …………… (लता)
(iii) खेल के मैदान में – …………… (क्रीडाक्षेत्रे)
(iv) विद्यालय में – …………… (विद्यालय)
(v) दोनों मार्गों में – …………… (मार्ग)
उत्तर:
(i) नीडेषु
(ii) लतायाम्
(iii) क्रीडाक्षेत्रे
(iv) विद्यालये
(v) मार्गयोः।

(ख)
(i) (वे सब) रहते हैं। – …………… (वस्)
(ii) (वे दो) खेलते हैं। – …………… (खेल)
(iii) (वे सब) खिलते हैं। – …………… (विकस्)
(iv) भ्रमण करते हैं (हम दोनों) – …………… (भ्रम्)
(v) पढ़ते हो (तुम दोनों) – ……………(पठ्)
उत्तर:
(i) वसन्ति
(ii) खेलत:
(iii) विकसन्ति
(iv) भ्रमावः
(v) पठथः।
NCERT Solutions for Class 6 Sanskrit Chapter 11 पुष्पोत्सवः 6
उत्तर:
(i) छात्राः विद्यालये पठन्ति।
(ii) ते उद्याने भ्रमन्ति।
(iii) जनाः पर्यटनाय गच्छन्ति।
(iv) अहं पठनाय गमिष्यामि।
(v) किम् त्वम् वायुयानेन गच्छसि?

बहुविकल्पीयप्रश्नाः

प्रश्न 1.
उचितं विकल्पम् चित्वा वाक्यपूर्ति कुरुत। (उचित विकल्प चुनकर वाक्यपूर्ति कीजिए। Pick out the correct option and complete the sentences.)

(क)
(i) ……….. अङ्गानि सन्ति। (शरीरम्, शरीरे, शरीराणि)
(ii) छात्राः ………..प्रयोगम् कुर्वन्ति। (प्रयोगशालाम्, प्रयोगशाले, प्रयोगशालायाम्)
(ii) ……….. उद्यमेन सिध्यन्ति। (कार्याः, कार्यम्, कार्याणि)
(iv) ……….. सर्वम् कुशलम् अस्ति। ………..(गृहम्, गृहे, गृहेण)
(v) त्वम् ……….. गच्छसि? (स्नानम्, स्नाने, स्नानाय)
उत्तर:
(i) शरीरे
(ii) प्रयोगशालायाम्
(ii) कार्याणि
(iv) गृहे
(v) स्नानाय।

(ख)
(i) ……….. भ्रमराः गुञ्जन्ति। (पुष्पाणि, पुष्पाणाम्, पुष्पेषु)
(ii) मार्गे …….. चलन्ति। (वाहनम्, वाहने, वाहनानि)
(iii) कृषकाः कार्यं कुर्वन्ति। (क्षेत्राणि, क्षेत्रेषु, क्षेत्रम्)
(iv) देवालयेषु घण्टानादः …………. । (भवति, भवतः, भवन्ति)
(v) वयम् विमानेन … गमिष्यामः। (विदेश, विदेशेन, विदेशम्)
उत्तर:
(i) पुष्पेषु
(ii) वाहनानि
(iii) क्षेत्रेषु
(iv) भवति
(v) विदेशम्।

Letter of Enquiry Class 11 Format, Topics, Samples

Letter Of Enquiry Class 11

This grammar section explains Online Education English Grammar in a clear and simple way. There are example sentences to show how the language is used. Students can also read NCERT Solutions for Class 11 English to get good marks in CBSE Board Exams. https://ncertmcq.com/letter-of-enquiry-class-11/

Online Education for Letter of Enquiry and Replies Class 11 Format, Topics, Samples

Letter Of Enquiry Class 11 Question 1.

You are Seetha/Surya living in Bangalore. You and your friends are planning a week-long holiday. You come across the following advertisement. Select a destination of your choice. Write a letter making necessary enquiries from the tour operator before you make your final decision.
Answer:

This winter, fill your holidays with endless Masti and thrill!!
We offer exciting domestic and international holiday packages for individuals as well as groups. You decide and leave the rest to us.1. Exotic Malaysia with Singapore and Star Cruise

10 nights 11 days
₹ 54,000

2. Magical Singapore

5 nights 6 days
4,999

3.Bangkok, Pattaya + Kul + Krabi + Singapore

11 days
₹ 32,999

4. Australia (Sydney, Coral Islands, and CNS)

7 nights 8 days
₹ 67,000

5. Best of Nepal

5 nights in a 5-star Hotel
₹ 7,999

6. Exotic Goal

3 nights 4 days
₹ 3,333

For more details write to us or visit our website www.sewanathholidavs. com
Or
write to us at Sewa Nath Worldwide Holidays, 123-A, Kailash Building, Goverdhan Road, City Centre, Malegaon

Letter To Enquiry Class 11 Question 2.
You are Ashok/Asha Rai living at 49, S-Block, Model Town, Allahabad- 211001. You came across the following advertisement:

Homeo postal class Eng./Hindi. Practicals arranged. Prospectus free. Contact Director, Mavelil Homeo Mission, P.B. 1015, Pattom, Thiruvananthapuram-695004.

Write a letter to the Director asking for detailed information on the courses, duration, fees, assignments, local contact programmes. Request for a prospectus and enclose a self-addressed envelope.
Answer:

49, S Block
Model Town
Allahabad 21100X
Uttar Pradesh

10 March 20XX

Maveli Homeo Mission
P.B. 105, Pattom
Thiruvanthapuram 695004

Dear Sir

Subject: Inquiry regarding postal homeo course

This is with reference to your advertisement in the Times of India dated March 8,20XX about the postal homeopathic course. I am interested in joining the complete course but would like some more information.

Kindly let me know the duration of the course, as well as the total fee. I would like to know if any contact programme is held and, if held, of what duration. Kindly send a prospectus to me at the above address. I am enclosing a self-addressed envelope for the purpose.

Hoping for an early response.
Yours faithfully
Asha Rai
Enel, s.a.e.

Letter For Enquiry Class 11 Question 3.
Write a reply to the above enquiry.
Answer:

Maveli Homeo Mission
PB. 1015
Pattom
Thiruvanthapuram 695004
20 March 20XX
Asha Rai
49, S Block
Model Town
Allahabad 21100X
Uttar Pradesh 2110XX

Dear Madam

Thanks for your letter dated March 9, 20XX, and the interest you have taken in the courses offered by us.

The complete course of a full medical degree is of three years duration. The total charges are 120,000 payable in three installments. The first installment is of ₹ 10,000 and the subsequent of ₹ 5,000 each.

The three contact programmes will be held for a month each year. You will be expected to read the study material and submit the assignments before the contact programme begins.

As desired By you, I am enclosing a prospectus. For any additional enquiries, please contact us at any time.

With best wishes,

R.G.K. Menon
(Director)
Enel. Prospectus

Letter Of Enquiry Class 11 Format Question 4.
You are Prantik/Prantika, the Secretary of the Historical Society of Nalanda Senior Secondary School, Bombay. You want to take a group of forty students of your school on a trip from Bombay to Delhi by a deluxe bus. Write a letter to Global Travels, Bombay, enquiring about their terms and conditions for package tours. You can ask about the duration of the trip, boarding and lodging charges, mode of payment, and discount available if any.
Answer:

Historical Society
Nalanda Senior Secondary School
Bombay 4000XX
3 August 20XX

The Manager
Global Travels
New Link Road
Jogeshwari (W)
Bombay 4000XX

Dear Sir

Subject: Enquiry regarding package tour to Delhi

I have received positive feedback about the package tours conducted by your company.

I intend to take a group of forty students to Delhi by a deluxe bus. The trip will be of about 20 days in October. The reason why we want to go by bus is that we want to visit cities en route to Delhi. We plan to see Ahmedabad, Baroda, Udaipur and Jaipur on way to Delhi and Mathura, Agra, Gwalior, and Indore on the return journey. We would like to stay at night at these places.

Kindly let us know if 20 days are sufficient for sightseeing in these cities and in Delhi. You will have to arrange for the deluxe bus, our boarding and lodging, and sightseeing. Also, let us know if you can make satisfactory hotel arrangements and what your charges will be. We shall expect the discount given to large groups and to students. Also, indicate what mode of payment will be acceptable to you.

I request you for an early response so that we may finalise our programme.

With best wishes,

Yours faithfully
Prantik
(Secretary)

Letter Of Enquiry Format Class 11 Question 5.
You are keen to get a call centre job. You are aware that you need to improve your spoken English and get some training in personality development.

You came across the following advertisement.
Letter Of Enquiry Format Class 11

Write a letter to the Director asking for the course content, duration, fee, timings, and other details. You are Aniket/Nikita of 15, H.I.G, Colony, Pitampura, Delhi.
Answer:

15, H.I.G. Colony
Pitampura
Delhi 110034

15 June 20XX

The Director
Maa Sharda Education Group
Vasundhara, Sector B
Rohini
Delhi 110085

Dear Sir

Subject: Inquiry about Spoken English Courses

This is with reference to your advertisement in the Hindustan Times on 14th June,. 20XX regarding Call Centre Training. You also offer a 100% job guarantee. I would like to know some more details about the course.

I have cleared AISSE and am looking for job opportunities available to me. I am particularly interested in a personality development programme. Kindly let me know if you conduct spoken English classes independent of this course or as part of personality development. Please let me know about the duration of the course and class timings. I would also like to know the fee for the course and whether it is payable in installments. Do you offer any discounts to meritorious students?

I shall be grateful if you send me a prospectus giving these details and an admission form at the earliest.

Thanking you,

Yours faithfully
Aniket

Class 11 Letter Of Enquiry Question 6.
A new sports complex has been inaugurated in Paschim Vihar, New Delhi. Write a letter to the Director asking for rules and procedures for obtaining membership. You also wish to know about the fee/annual charges as well as concessions offered to students. Sign as Harsh Kumar Jain of 6,
B Block Rajouri Garden, New Delhi.
Answer:

6, B Block
Rajouri Garden
New Delhi 1100XX

1 April 20XX

The Director
Sports Complex
Paschim Vihar
New Delhi 1100XX

Dear Sir

Subject: Inquiry about Securing Membership of Pashchim Vihar Sports Complex

We, the residents, are extremely proud and happy to have our own Sports Complex. I am a student of class XI, sixteen-year-old, and would like to become a member.

Kindly let me know the procedure for securing membership and whether I need to furnish some documents.

I would highly appreciate if you could let me know about the membership fee for one year and if I would be given student concession. I would like to join tennis, squash and gymnastics.

I shall be obliged if you send me a copy of the rules and regulations for the members of the Sports Complex.

Yours faithfully
Harsh Kumar Jain

Letter Of Inquiry Sample For Students Question 7.
Nehru Yuva Kendra on 7, Bahadur Shah Zafar Marg, New Delhi, is an organisation catering to the cultural needs of the youth. Write a letter to the Director, enquiring about the short-term courses/classes scheduled for the summer vacations. You are particularly interested in drama and martial arts programmes. Sign as Raghuvir Singh, 50, Daryaganj, Delhi.
Answer:

(Complete the hints given in the second para to make full sentences.)
50, Darya Ganj
Delhi 110002
2 April 20XX

The Director
Nehru Yuva Kendra
7, Bahadur Shah Zafar Marg
New Delhi 110001

Dear Sir

Subject: Enquiry about Classes and Courses

I came to know of the courses and classes conducted by you, through the Hindustan Times dated 20th April 20XX. I would like to have some more information.
(Develop these points into sentences.)
My interest -drama-Hindi and English-martial arts-Karate, Kung fu-classes/courses of what duration-evening class if possible-what expenses apart from the fee.

I request to send a prospectus of the entire summer programme.

Yours faithfully
Raghuvir Singh

Letter Of Enquiry Class 11 Pdf Question 8.
You have a savings bank account in the State Bank of India. You have lost your passbook. Write to
the Branch Manager requesting him to get another copy of the passbook issued to you.
Answer:
14, H.I.G. Flats
Ashok Vihar
Delhi 110052

30 November 20XX

The Branch Manager
State Bank of India
27, F-Block
Connaught Place
New Delhi 110001

Dear Sir

Subject: Request for issuance of a fresh passbook

I have been holding a savings account in your branch for the past five years. My Account No. is SB 4567.

Unfortunately, on 28 November 20XX, I lost my briefcase while travelling. It contained my passbook for the above account. I request you to kindly issue me another one at the earliest. A copy of the FIR lodged by me at Ashok Vihar Police Station in enclosed.

Yours faithfully
Shayam Lai Bajaj
Enel. Copy of FIR

Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers

Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers

Here we are providing Online Education for Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Answers Solutions, Extra Questions for Class 10 Maths was designed by subject expert teachers. https://ncertmcq.com/extra-questions-for-class-10-maths/

Online Education Extra Questions for Class 10 Maths Surface Areas and Volumes with Answers Solutions

Extra Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes with Solutions Answers

Surface Areas and Volumes Class 10 Extra Questions Very Short Answer Type

Surface Area And Volume Class 10 Extra Questions Question 1.
What is the capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom?.
Solution:
Surface Area And Volume Class 10 Extra Questions
Capacity of the given vessel
= capacity of cylinder – capacity of hemisphere
Class 10 Surface Area And Volume Extra Questions

Class 10 Surface Area And Volume Extra Questions Question 2.
A solid cone of radius r and height h is placed over a solid cylinder having same base radius and height as that of a cone. What is the total surface area of the combined solid?
Surface Area And Volume Class 10 Extra Questions With Solutions Pdf
Solution:
The total surface area of the combined solid in Fig.
= curved surface area of cone + curved surface area of cylinder + area of the base.
Surface Area And Volume Extra Questions

Surface Area And Volume Class 10 Extra Questions With Solutions Pdf Question 3.
Two identical solid hemispheres of equal base radius r сm are struck together along their bases. What will be the total surface area of the combination?
Solution:
The resultant solid will be a sphere of radius r whose total surface area is 4πr2.

Surface Area And Volume Extra Questions Question 4.
A solid ball is exactly fitted inside the cubical box of side a. What is the volume of the ball?
Solution:
Diameter of the solid ball = edge of the cube = a
Surface Area And Volume Class 10 Important Questions

Area Related To Circles Extra Questions Question 5.
If two cubes of edge 5 cm each are joined end to end, find the surface area of the resulting cuboid.
Solution:
Total length (l) = 5 + 5 = 10 cm
Breadth (b) = 5 cm, Height (h) = 5 cm
Surface Area = 2 (lb + bh + lh)
= 2(10 × 5 + 5 × 5 + 5 × 10) = 2 × 125 = 250 cm2

Area Related To Circle Class 10 Extra Questions Pdf Question 6.
A solid piece of iron in the form of a cuboid of dimension 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Find the radius of sphere.
Solution:
Volume of iron piece = Volume of the sphere formed
= 49 × 33 × 24 = \(\frac{4}{3}\) πr2
Surface Area And Volume Extra Questions Class 10
r = 21 cm

Area Related To Circle Class 10 Extra Questions With Solutions Pdf Question 7.
A mason constructs a wall of dimensions 270 cm × 300 cm × 350 cm with the bricks each of size 22.5 cm × 11.25 cm × 8.75 cm and it is assumed that space is covered by the mortar. Find the number of bricks used to construct the wall.
Solution:
Space occupied with bricks = \(\frac{7}{8}\) × volume of the wall
= \(\frac{7}{8}\) × 270 × 300 × 350
Extra Questions Of Surface Area And Volume Class 10

Class 10 Maths Chapter 12 Extra Questions Question 8.
The radii of the ends of a frustum of a cone 40 cm high are 20 cm and 11 cm. Find its slant height.
Solution:
Surface Areas And Volumes Class 10 Extra Questions

Area Related To Circle Difficult Questions Question 9.
Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere?
Solution:
As per question
Volume of hemisphere = Surface area of hemisphere
= \(\frac{2}{3}\)πr2 = 3πr2 = , units r = \(\frac{9}{2}\) units

Surface Areas and Volumes Class 10 Extra Questions Short Answer Type 1

Area Related To Circle Class 10 Extra Questions Question 1.
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. What is the ratio of their volumes?
Solution:
Volume of a cone: Volume of a hemisphere: Volume of a cylinder
Ch 13 Maths Class 10 Extra Questions

Area Related To Circle Class 10 Important Questions With Solutions Question 2.
What is the ratio of the volume of a cube to that of a sphere which will fit inside it?
Solution:
Let edge of the cube be ‘a’.
Then, diameter of the sphere that will fit inside the given cube = a
∴ Volume of the cube : Volume of the sphere
Extra Questions Of Chapter 13 Class 10 Maths

Ch 12 Maths Class 10 Extra Questions Question 3.
The slant height of the frustum of a cone is 5 cm. If the difference between the radii of its two circular ends is 4 cm, find the height of the frustum.
Solution:
Let r and R be radii of the circular ends of the frustum of the cone.
Then, R – r = 4, l = 5
We know, l2 = (R – r)2 + h2
⇒ 52 = 42 + h2 or h2 = 25 – 16 = 9
⇒ h = 3 cm

Areas Related To Circles Class 10 Important Questions Question 4.
If the slant height of the frustum of a cone is 10 cm and the perimeters of its circular base are 18 cm and 28 cm respectively. What is the curved surface area of the frustum?
Solution:
Let r and R be the radii of the two circular ends of the frustum of the cone.
Then, 2πr = 18 and 2πR = 28
Extra Questions On Surface Area And Volume

Surface Area And Volume Class 10 Important Questions Question 5.
The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.
Solution:
Extra Questions On Surface Area And Volume Class 10
We have, slant height, l = 4 cm
Let R and r be the radii of two circular ends respectively. Therefore, we have
⇒ 2πR = 18 = πR = 9
⇒ 2πr = 6 = πr = 3
∴ Curved surface area of the frustum = (πR + πr)l
= (9 + 3) × 4 = 12 × 4 = 48 cm2

Surface Area And Volume Extra Questions Class 10 Question 6.
A vessel is in the form of a hollow hemisphere mounted by a hollow 7 cm cylinder. The diameter of the hemisphere is 14 cm and the total height T of the vessel is 13 cm. Find the inner surface area of the vessel.
Solution:
Class 10 Maths Chapter 13 Extra Questions
Here, radius of hemisphere = radius of cylinder = r cm = 7 cm
and height of cylinder, h = (13 – 7) cm = 6 cm
Now, inner surface area of the vessel
= Curved surface area of the cylindrical part + Curved surface area of hemispherical part = (2πrh + 2πr2) = 2πr (h + r)
= 2 × \(\frac{22}{7}\) × 7 (6 + 7)
= 2 × 22 × 13 = 572 cm2

Extra Questions Of Surface Area And Volume Class 10 Question 7.
A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of T.
Solution:
Class 10 Maths Surface Area And Volume Extra Questions
We have,
Height
of cone is equal to its radius
i.e., h =r = 1 cm (Given)
Also, radius of hemisphere = r = 1 cm
Now, Volume of the solid
= Volume of the cone + Volume of the hemisphere
Surface Area Class 10 Extra Questions
Class 10 Maths Ch 13 Extra Questions

Surface Areas And Volumes Class 10 Extra Questions Question 8.
If the total surface area of a solid hemisphere is 462 cm2, find its volume. [Take π = \(\frac{22}{7}\)]
Solution:
Given, total surface area of solid hemisphere = 462 cm2
⇒ 3πr2 = 462 cm2
3 × \(\frac{22}{7}\) × r2 = 462
r2 = 49 ⇒ r = 7 cm
Volume of solid hemisphere = \(\frac{2}{3}\) πr3
= \(\frac{2}{3}\) × \(\frac{22}{7}\) × 7 × 7 × 7 = 718.67 cm3

Surface Areas and Volumes Class 10 Extra Questions Short Answer Type 2

Ch 13 Maths Class 10 Extra Questions Question 1.
Two cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid.
Solution:
Class 10 Surface Area And Volume Important Questions
Let the length of each edge of the cube of volume 64 cm3 be x cm.
Then, Volume = 64 cm3
⇒ x2 = 64
⇒ x2 = 43
⇒ x = 4 cm
4 cm The dimensions of cuboid so formed are
l = Length = (4 + 4) cm = 8 cm
b = Breadth = 4 cm and h = Height = 4 cm
∴ Surface area of the cuboid = 2 (lb + bh + lh)
= 2 (8 × 4 + 4 × 4 + 8 × 4)
= 2 (32 + 16 + 32)
= 160 cm2

Extra Questions Of Chapter 13 Class 10 Maths Question 2.
A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid.
Solution:
The greatest diameter that a hemisphere can have = 7 cm = l
Radius of the hemisphere (R) = \(\frac{7}{2}\) cm
∴ Surface area of the solid after surmounting hemisphere
= 6l2 – πR2 + 2πR2 = 6l2 + πR2
Surface Area Volume Class 10 Extra Questions

Extra Questions On Surface Area And Volume Question 3.
The dimensions of a solid iron cuboid are 4.4 m × 2.6 m × 1.0 m. It is melted and recast into a hollow cylindrical pipe of 30 cm inner radius and thickness 5 cm. Find the length of the pipe.
Solution:
Let the length of pipe by h m.
Volume of cuboid = 4.4 × 2.6 × 1 m2
Inner and outer radii of cylindrical pipe are 30 cm, (30 + 5) cm = 35 cm
Chapter 13 Maths Class 10 Extra Questions

Extra Questions On Surface Area And Volume Class 10 Question 4.
A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.
OR
A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius on its circular face. The total height of the toy is 15.5 cm. Find the total surface area of the toy.
Solution:
Class 10 Maths Chapter 13 Extra Questions With Solutions
We have,
CD = 15.5 cm and OB = OD = 3.5 cm
Let r be the radius of the base of cone and h be the height of conical part of the toy.
Then, r = OB = 3.5 cm
h = OC = CD – OD = (15.5 – 3.5) cm = 12 cm
Surface Area And Volume Important Questions Class 10

Class 10 Maths Chapter 13 Extra Questions Question 5.
A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.
Solution:
Here, we have
Edge of the cube = l = Diameter of the hemisphere
Therefore, radius of the hemisphere = \(\frac{l}{2}\)
∴ Surface area of the remaining solid after cutting out the hemispherical
Class 10 Maths Chapter 13 Important Questions

Question 6.
A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of 500 per m2. (Note that the base of the tent will not be covered with canvas).
Solution:
We have,
Radius of cylindrical base = \(\frac{4}{2}\) = 2 m
Height of cylindrical portion = 2.1 m
∴ Curved surface area of cylindrical portion = 2πrh
= 2 × \(\frac{22}{7}\) × 2 × 2.1 = 26.4 m2
Radius of conical base = 2 m
Slant height of conical portion = 2.8 m
∴ Curved surface area of conical portion = πrl
= \(\frac{22}{7}\) × 2 × 2.8 = 17.6m2
Now, total area of the canvas = (26.4 + 17.6)m2 = 44 m2
∴ Total cost of the canvas used = ₹500 × 44 = ₹22,000

Question 7.
A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends (Fig). The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 23
Solution:
Let the radius and height of the cylinder be r сm and h cm respectively. Then,
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 24

Question 8.
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in Fig. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the total surface area of the article.
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 25
Solution:
We have, r = 3.5 cm and h = 10 cm
Total surface area of the article
= Curved surface area of cylinder + 2 × Curved surface area of hemisphere
= 2πrh + 2 × 2πr2 = 2πr (h + 2r)
= 2 × \(\frac{22}{7}\) × 3.5 × (10 + 2 × 3.5)
= 2 × \(\frac{22}{7}\) × 3.5 × 17 = 374 cm2

Question 9.
Mayank made a bird-bath for his garden in the shape of a cylinder with a hemispherical depression at one end (Fig). The height of the cylinder is 1.45 m and its radius is 30 cm. 30 cm Find the total surface area of the bird-bath. [Take π = \(\frac{22}{7}\) ]
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 26
Let h be height of the cylinder, and r be the common radius of the cylinder and hemisphere.
Then, the total surface area of the bird-bath
= Curved surface area of cylinder + Curved surface area of hemisphere
= 2πrh + 2πr2 = 2πr (h + 2r)
= 2 × \(\frac{22}{7}\) × 30 (145 + 30) cm2 = 33,000 cm2 = 3.3 m2

Question 10.
A juice seller was serving his customers using glasses as shown in Fig. 13.16. The inner diameter of the cylindrical glass was 5 cm, but the bottom of the glass had a hemispherical raised portion which reduced the capacity of the glass. If the height of a glass was 10 cm, find the apparent capacity of the glass and its actual capacity. (Use π = 3.14).
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 27
Since, the inner diameter of the glass = 5 cm and height = 10 cm,
the apparent capacity of the glass = πr2h
= (3.14 × 2.5 × 2.5 × 10) cm3 = 196.25 cm2
But the actual capacity of the glass is less by the volume of the hemisphere at the base of the glass.
i.e., it is less by \(\frac{2}{3}\) πr3
= \(\frac{2}{3}\) × 3.14 × 2.5 × 2.5 × 2.5 cm3
= 32.71 cm
So, the actual capacity of the glass
= Apparent capacity of glass – Volume of the hemisphere
= (196.25 – 32.71) cm3 = 163.54 cm3

Question 11.
Asphericalglassvesselhasacylindricalneck8cmlong, 2cmindiameter;the diameterofthespherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm3. Check whether she is correct, taking the above as the inside measurements, and π = 3.14.
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 28
We have,
Radius of cylindrical neck = 1 cm and height of cylindrical neck = 8 cm
Radius of spherical part = 4.25 cm
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 29
∴ The answer found by the child is incorrect.
Hence, the correct answer is 346.51 cm”.

Question 12.
A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.
Solution:
We have,
Radius of sphere (r1) = 4.2 cm, Radius of cylinder (r2) = 6 cm
Let h cm be the height of cylinder.
Now, since sphere is melted and recast into cylinder
∴ Volume of sphere = Volume of cylinder
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 30
Hence, height of the cylinder is 2.744 cm.

Question 13.
Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.
Solution:
Letr be the radius of resulting sphere.
We have,
Volume of resulting sphere = Sum of the volumes of three given spheres
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 31
Hence, the radius of the resulting sphere is 12 cm.

Question 14.
A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.
Solution:
Here, radius of cylindrical well =\(\frac{7}{2}\)m
Depth of cylindrical well = 20 m
Let H metre be the required height of the platform.
Now, the volume of the platform = Volume of the earth dugout from the cylindrical well
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 32
∴ Height of the platform = 2.5 m

Question 15.
How many silver coins, 1.75 cm in diameter and of thickness 2 mm, must be melted to form a cuboid of dimensions 5.5 cm × 10 cm × 3.5 cm?
Solution:
We have,
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 33
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 34

Question 16.
A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 m of uniform thickness. Find the thickness of the wire.
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 35
The length of the new wire of the same volume = 18 m = 1800 cm
If r is the radius (in cm) of cross-section of the wire, its volume = π × r2 × 1800 cm3
Therefore, π × r2 × 1800 = 2π
i.e., r2 = \(\frac{1}{900}\) i.e., r = \(\frac{1}{30}\)
So, the diameter of the cross section, i.e., the thickness of the wire is \(\frac{1}{15}\),
i.e., 0.67 mm (approx.).

Question 17.
A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular, ends are 4 cm and 2 cm. Find the capacity of the glass.
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 36
We have, R = 2 cm, r = 1 cm, h = 14 cm
∴ Capacity of the glass = Volume of the frustum
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 37

Question 18.
A fez, the cap used by the Turks, is shaped like the frustum of a cone (Fig). If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it.
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 38
Solution:
We have,
R = 10 cm, r = 4 cm, l = 15 cm
∴ Area of the material used for making the fez
= Surface area of frustum + Area of top circular section
= π(R + r) l +πr2
= \(\frac{22}{7}\)(10 + 4) × 15 + \(\frac{22}{7}\) × 4 × 4
= \(\frac{22}{7}\) × 14 × 15 + \(\frac{22}{7}\) × 16
= \(\frac{22}{7}\) (210 + 16) = \(\frac{4972}{7}\) = 710 \(\frac{2}{7}\) cm2

Question 19.
Two spheres of same metal weigh 1 kg and 7 kg. The radius of the smaller sphere is 3 cm. The two spheres are melted to form a single big sphere. Find the diameter of the new sphere.
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 39
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 40
∴ Diameter of new sphere = 12 cm.

Question 20.
A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank which is 10 m in diameter and 2 m deep. If the water flows through the pipe at the rate of 4 km per hour, in how much time will the tank be filled completely?
Solution:
Given, Diameter of tank = 10 m
Depth of tank (H) = 2 m
Internal diameter of pipe = 20 cm = \(\frac{2}{10}\) m
Rate of flow of water, ν = 4 km/h = 4,000 m/h
Internal radius of pipe, r =\(\frac{1}{10}\) m
Let ‘t be the time taken to fill the tank.
∴ Water flowing through pipe in t hours = Volume of tank
πr2 × υ × t = πR2H
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 41

Question 21.
The largest possible sphere is carved out of a wooden solid cube of side 7 cm. Find the volume 22 of the wood left. [Use π = \(\frac{22}{7}\) ]
Solution:
Diameter of sphere carved out = side of cube = 7 cm
So, r = 3.5 cm
Volume of cube = a3 = 73 = 343 cm3
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 42
Volume of wood left = 343 – 179.67 = 163.33 cm3

Question 22.
A hemispherical bowl of internal diameter 36 cm contains liquid. This liquid is filled into 72 cylindrical bottles of diameter 6 cm. Find the height of the each bottle, if 10% liquid is wasted in this transfer.
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 43

Question 23.
A solid is composed of a cylinder with hemispherical ends. If the whole length of the solid is 100cm and the diameter of the hemispherical ends is 28cm. Find the cost of polishing the surface of the solid at the rate of 5 paise per sq.cm.
Solution:
We have
r = radius of cylinder = radius of hemispherical ends = \(\frac{28}{2}\) cm
h = height of the cylinder = 100 – 2 × 14 = 100 – 28 = 72 cm.
Total surface area
= Curved surface area of cylinder + 2 × Surface area of hemispherical ends = 2πrh + 2 × (2πr2)
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 44

Question 24.
A hemispherical tank, of diameter 3 m, is full of water. It is being emptied by a pipe at the rate of 3 \(\frac{4}{7}\) litre per second. How much time will it take to make the tank half empty? [Use π = \(\frac{22}{7}\)]
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 45

Question 25.
The \(\frac{3}{4}\)th part of a conical vessel of internal radius 5 cm and height 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height of water in cylindrical vessel.
Solution:
Let the height of cylindrical vessel be h cm
According to question
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 46

Question 26.
A cylindrical tub, whose diameter is 12 cm and height 15 cm is full of ice cream. The whole ice cream is to be divided into 10 children in equal ice-cream cones, with conical base surmounted by hemispherical top. If the height of conical portion is twice the diameter of base, find the diameter of conical part of ice-cream cone.
Solution:
Volume of ice-cream in the cylinder = πr2h = (π(6)2 × 15) cm3
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 47
Diameter of conical ice-cream cup = 6 cm

Question 27.
A conical vessel, with base radius 5 cm and height 24 cm, is full of water. This water is emptied into a cylindrical vessel of base radius 10 cm. Find the height to which the water will rise in the cylindrical vessel. [use π = \(\frac{22}{7}\)]
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 48
⇒ h = 2 cm

Question 28.
The sum of the radius of base and height of a solid right circular cylinder is 37 cm. If the total surface area of the solid cylinder is 1628 sq. cm find the volume of the cylinder.
[Use π = \(\frac{22}{7}\)]
Solution:
Here
r + h = 37 and 2πr(r + h) = 1628
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 49

Question 29.
A sphere of diameter 12 cm, is dropped in a right circular cylindrical vessel, partly filled with water. If the sphere is completely submerged in water, the water level in the cylindrical vessel rises by 3\(\frac{3}{9}\) cm. Find the diameter of the cylindrical vessel.
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 50

Question 30.
Water is flowing at the rate of 5 km/hour through a pipe of diameter 14 cm into a rectangular tank of dimensions 50 m × 44 m. Find the time in which the level of water in the tank will rise by 7 cm.
Solution:
Let the time taken by pipe be t hours.
∵ Speed = 5 km/h
∴ Length in t hours = 5000 t m.
According to question
Volume of water flown through pipe = Volume of water in tank
πr2h = l × b × h
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 51
⇒ t = 2
Hence required time is 2 hours.

Question 31.
The radius and height of a solid right circular cone are in the ratio of 5 : 12. If its volume is 314 cm3, find its total surface area. [Take π = 3.14]
Solution:
Given r : h = 5 : 12
Let r = 5x
⇒ h = 12x
Volume of cone = \(\frac{1}{3}\)π2h
314 = \(\frac{1}{3}\) × 3.14 (5x)2 × 12x
⇒ x3 = \(\frac{314 \times 3}{3.14 \times 25 \times 12}\)
⇒ x3 = 1
⇒ x = 1
So, the value of r = 5 cm and h = 12 cm
Now, l = \(\sqrt{(12)^{2}+(5)^{2}}\) = 13 cm
TSA of cone = πr(l + r) = 3.14 × 5 (13 + 5)
= 3.14 × 90 = 282.6 cm2

Question 32.
A wire of diameter 3 mm is wound about a cylinder whose height is 12 cm and radius 5 cm so as to cover the curved surface of the cylinder completely. Find the length of the wire.
Solution:
CSA of cylinder = 2π(5) × 12
= 120 πcm2
Let length of wire = h cm
Radius of wire = \(\frac{3}{20}\) cm
According to question
CSA of wire = CSA of cylinder
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 52

Surface Areas and Volumes Class 10 Extra Questions Long Answer Type

Question 1.
From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm?
OR
From a solid right circular cylinder of height 2.4 cm and radius 0:7 cm, a right circular cone of same height and same radius is cut out. Find the total surface area of the remaining solid.
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 53
Solution:
We have,
0.7 cm Radius of the cylinder = 1.4/2 = 0.7 cm
Height of the cylinder = 2.4 cm
Also, radius of the cone = 0.7 cm
and height of the cone = 2.4 cm
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 54
∴ Total surface area of the remaining solid
= Curved surface area of cylinder + Curved surface area of the cone + Area of upper circular base of cylinder
= 2πrh + πrl + πr2 = πr(2h + l + r)
= \(\frac{22}{7}\) × 0.7 × [2 × 2.4 + 2.5 + 0.7]
= 22 × 0.1 × (4.8 + 2.5 + 0.7)
= 2.2 × 8.0 = 17.6 cm2 = 18 cm2

Question 2.
The decorative block shown in figure is made of two solids a cube and a hemisphere. The base of the block is a cube with edge 5 cm, and the hemisphere fixed on the top has a diameter of 4.2 cm. Find the total surface area of the block. (Use π = \(\frac{22}{7}\))
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 55
The total surface area of the cube = 6 × (edge)2
= 6 × 5 × 5 cm2 = 150 cm
∴ Total surface area of the block
= Total surface area of cube – Base area of hemisphere + Curved surface area of hemisphere
= 150 – πr2 + 2πr2 = (150 + πr2) cm2
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 56
cm2 = (150 + 13.86) cm2 = 163.86 cm

Question 3.
Rasheed got a playing top (lattu) as his birthday present, which surprisingly had no colour on it. He wanted to colour it with his crayons. The top is shaped like a cone surmounted by a hemisphere (Fig). The entire top is 5 cm in height and the diameter of the top is 3.5 cm. Find the area he has to colour. (Take π = \(\frac{22}{7}\)
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 57
Solution:
Total surface area of the top
= Curved surface area of hemisphere + Curved surface area of cone. Now, the curved surface area of hemisphere = 2πr2
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 58

Question 4.
A wooden toy rocket is in the shape of a cone mounted on a cylinder, in Fig. The height of the entire rocket is 26 cm, 6 cm while the height of the conical part is 6 cm. The base of the conical portion has a diameter of 5 cm, while the base diameter of the cylindrical portion is 3 cm. If the conical portion is to be painted orange and the cylindrical portion yellow, find the area of the rocket painted with each of these colours. (Take π = 3.14) 26 cm
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 59
Solution:
Denote radius, slant height and height of cone by r, l and h, respectively, and radius and height of cylinder by r’ and h’, respectively. Then r = 2.5 cm, h = 6 cm, r’ = 1.5 cm,
h’ = 26 – 6 = 20 and
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 60
Here, the conical portion has its circular base resting on the base of the cylinder, but the base of the cone is larger than the base of the cylinder. So, a part of the base of the cone (a ring) is to be painted. So, the area to be painted orange
= Curved surface area of the cone + Base area of the cone – Base area of the cylinder
= πrl + πr2 – π(r’)2
= [(2.5 × 6.5) + (2.5)2 – (1.5)2] cm2
= π[20.25] cm2
= 3.14 × 20.25 cm2 = 63.585 cm2
Now, the area to be painted yellow
= Curved surface area of the cylinder + Area of one base of the cylinder
= 2πr’h’ + π(r’)2 = πr’ (2h’ + r’)
= (3.14 × 1.5) (2 × 20 + 1.5) cm2 = 4.71 × 41.5 cm2 = 195.465 cm2

Question 5.
Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 61
Here, radius of cylindrical portion = \(\frac{3}{2}\)
Height of each cone = 2 cm
Height of cylindrical portion = 12 – 2 – 2 = 8 cm
Volume of the air contained in the model
= Volume of the cylindrical portion of the model + Volume of two conical K ends.
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 62

Question 6.
A gulab jamun, contains sugar syrup about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm (Fig).
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 63
Solution:
We have,
Radius of cylindrical portion and hemispherical portion of a gulab jamun
2.8/2 = 1.4 cm
Length of cylindrical portion = 5 – 1.4 – 1.4 = 2.2 cm
Volume of one gulab jamun
= Volume of the cylindrical portion + Volume of the hemispherical ends
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 64

Question 7.
A solid toy is in the form of a hemisphere surmounted by a right circular cone. EF The height of the cone is 2 cm and the diameter of the base is 4 cm. Determine the volume of the toy. If a right circular cylinder circumscribes the toy, find the difference of the volumes of the cylinder and the toy. (Take π = 3.14)
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 65
Solution:
Let BPC be the hemisphere and ABC be the cone standing on the base of the N
hemisphere (see Fig. 13.29).
The radius BO of the hemisphere (as well as of the cone) = 1/2 × 4 cm = 2 cm
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 66
Now, let the right circular cylinder EFGH circumscribe the given solid. The radius of the base of the right circular cylinder = HP = BO = 2 cm and its height is
EH = AO + OP = (2 + 2) cm = 4 cm
So, the required volume
= Volume of the right circular cylinder – Volume of the toy
= (3.14 × 22 × 4 – 25.12) cm3 = 25.12 cm3
Hence, the required difference of the two volumes = 25.12 cm3

Question 8.
A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand (Fig).
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 67
Solution:
We have,
Length of cuboid = 1 = 15 cm
Breadth of cuboid = b = 10 cm
Height of cuboid = h = 3.5 cm
And radius of conical depression = 0.5 cm
Depth of conical depression = 1.4 cm
Now, Volume of wood in the entire pen stand
= Volume of cuboid – 4 × Volume of a conical depression
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 68

Question 9.
A solid iron pole consists of a cylinder of height 220 cm and base diameter r = 8 cm 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm of iron has approximately 8 g mass. 60 cm (Use π = 3.14).
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 69
Let r1 and h1 be the radius and height of longer cylinder, respectively, and r2, h2 be the respective radius and height of smaller cylinder mounted on the longer cylinder.
Then we have,
r1 = 12 cm, h1 = 220 cm
r2 = 8 cm, h2 = 60 cm
Now, Volume of solid iron pole
= Volume of the longer cylinder + Volume of smaller cylinder
= πr12h1 + πr22h2
= 3.14 R (12)2 × 220 + 3.14 R (8)2 × 60
= 3.14 × 144 × 220 + 3.14 × 64 × 60
= 99475.2 + 12057.6 = 111532.8 cm3
Hence, the mass of the pole =(111532.8 × 8) grams
= \(\frac{111532.8 \times 8}{1000} \mathrm{kg}\) = 892.2624 kg

Question 10.
A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 1.1
We have,
Radius of cylinder = Radius of cone = Radius of hemisphere = 60 cm
∴ Height of cone = 120 cm
Height of cylindrical vessel = 120 + 60 = 180 cm
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 1.2
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 70

Question 11.
A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12 cm and & diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice I cream.
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 71
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 72
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 73

Question 12.
A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap.
OR
A girl empties a cylindrical bucket, full of sand, of base radius 18 cm and height 32 cm, on the floor to form a conical heap of sand . If the height of this conical heap is 24 cm, then find its slant height correct up to one place of decimal.
Solution:
We have,
Radius of cylindrical bucket = 18 cm
Height of cylindrical bucket = 32 cm
And height of conical heap = 24 cm
Let the radius of conical heap be r cm
Volume of the sand = Volume of the cylindrical bucket
= πr2h = π × (18)2 × 32
Now, Volume of conical heap = \(\frac{1}{3} \pi r^{2} h=\frac{1}{3} \pi r^{2} \times 24=8 \pi r^{2}\)
Here, volume of the conical heap will be equal to the volume of sand.
8πr² = π × (18)2 × 32
r2 = 18 × 18 × 4 = (18)2 × (2)2
r2 = (36)2 or r = 36 cm
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 74

Question 13.
Selvi’s house has an overhead tank in the shape of a cylinder. This is filled by pumping water from a sump (an underground tank) which is in the shape of a cuboid. The sump has dimensions 1.57 m × 1.44 m × 95 cm. The overhead tank has its radius 60 cm and height 95 cm. Find the height of the water left in the sump after the overhead tank has been completely filled with water from the sump which had been full. Compare the capacity of the tank with that of the sump. (Use π = 3.14)
Solution:
The volume of water in the overhead tank equals the volume of the water removed from the sump.
Now, the volume of water in the overhead tank (cylinder) = πr²h
= 3.14 × 0.6 × 0.6 × 0.95 m3
The volume of water in the sump when full = l × b × h = 1.57 × 1.44 × 0.95 m3
The volume of water left in the sump after filling the tank
= [(1.57 × 1.44 × 0.95) – (3.14 × 0.6 × 0.6 x 0.95)] m3
= 1.57 × 0.95[1.44 – 2 × 0.6 × 0.6]
= 1.57 × 0.95 × 0.72
So, the height of the water left in the sump
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 75
Therefore, the capacity of the tank is half the capacity of the sump.

Question 14.
A container, opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Find the cost of the milk which can completely fill the container, at the rate of ₹ 20 per litre. Also, find the cost of metal sheet used to make the container, if it costs ₹ 8 per 100 cm2 (Take π = 3.14)
Solution:
We have, R = 20 cm, r = 8 cm, h = 16 cm
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 76
Now, cost of milk to fill the container completely at the rate of ₹20 per litre
= ₹ 20 x 10.44992 = ₹ 208.9984 ₹ 209
Also, Surface area = πl(R + r) + πr2
= 3.14 × 20 × (20 + 8) + 3.14 × 8 × 8
= 3.14 [560 + 64] = 3.14 × 624 = 1959.36 cm2
∴ Total cost of metal sheet used to make the container at the rate of ₹ 8 per 100 cm2
= ₹ \(\frac{8}{100}\) × 1959.36 = ₹ 156.75.

Question 15.
A metallic right circular cone 20 cm high whose vertical angle is 60° which is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter 1/16 cm, find the length of the wire.
Solution:
Let VAB be the metallic right circular cone of height 20 cm.
Suppose this cone is cut by a plane parallel to its base at a point O’ such that VO’ = O’ O i.e., O’ is the mid point of VO. Let r1 andrą be the radii of circular ends of the frustrum ABB’A’. Now, in AVOA and VO’ A’, we have
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 77

Question 16.
In Fig, a cone of radius 10 cm is divided into two parts by drawing a plane through the mid-point of its axis, parallel to its base. Compare the volumes of the two parts.
Solution:
Let BC = r cm, DE = 10 cm
Since, B is the mid-point of AD and BC is parallel to DE, therefore C is the mid-point of AE.
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 78
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 79

Question 17.
The radii of the ends of a frustum of a cone 45 cm, high are 28 cm and 7 cm (Fig). Find its volume, the curved surface area and the total surface area[ Take π = \(\frac{22}{7}\) ]
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 80
The frustum can be viewed as a difference of two right circular cones OAB and OCD (Fig. 13.37). Let the height (in cm) of the cone OAB be h1 and its slant height l1 ,i.e, OP = h1 and OA = OB = l1. Let h2 be the height of cone OCD and l2 its slant height.
We have, r1 = 28 cm, r2 = 7 cm
and the height of frustum (h) = 45 cm
Also, h1 = 45 + h2 …….. (i)
We first need to determine the respective heights h1 and h2 of the cone OAB and OCD.
Since the triangles OPB and OQD are similar, we have
\(\frac{h_{1}}{h_{2}}=\frac{28}{7}=\frac{4}{1}\) …….(ii)
From (i) and (ii), we get hy = 15 cm and h, = 60 cm.
Now, the volume of the frustum = Volume of the cone OAB – Volume of the cone OCD
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 81
The respective slant height l, and ly of the cones OCD and OAB are given by
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 82
Thus, the curved surface area of the frustum = πr1l1 – πr2l2
= \(\frac{22}{7}\) (28)(66.20) – \(\frac{22}{7}\)(7) (16.55)
= \(\frac{22}{7}\) × 7 × 16.55(16 – 1) = 5461.5 cm2
Now, the total surface area of the frustum
= Curved surface area of frustum + πr12 + πr22
= 5461.5 cm2 + \(\frac{22}{7}\)2 cm2 + \(\frac{22}{7}\)(7)2 cm2
= 5461.5 cm2 + 2464 cm2 + 154 cm2
= 8079.5 cm2

Question 18.
An open metal bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet (Fig). The diameters of the two circular ends of the bucket are 45 cm and 25 cm, the total vertical height of the bucket is 40 cm and that of the cylindrical base is 6 cm. Find the area of the metallic sheet used to make the bucket, where we do not take into account the handle of the bucket. Also, find the volume of water the bucket can hold. [Take π = \(\frac{22}{7}\)]
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 83
Solution:
The total height of the bucket = 40 cm, which includes the height of the base.
So, the height of the frustum of the cone = (40 – 6) cm = 34 cm.
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 84
Area of metallic sheet used
Curved surface area of frustum of cone + Area of circular base + Curved surface area of cylinder
= [π × 35.44 (22.5 + 12.5) + π × (12.5)2 + 21 × 12.5 × 6] cm2
= \(\frac{22}{7}\) (1240.4 + 156.25 + 150) cm2 = 4860.9 cm2
Now, the volume of water that the bucket can hold (also, known as the capacity of the bucket)
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 85

Question 19.
150 spherical marbles, each of diameter 1.4 cm, are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel.
Solution:
Diameter of spherical balls = 1.4 cm
Radius of spherical balls, r = 0.7 cm
Diameter of cylinder = 7 cm
Radius of cylinder = 3.5 cm
No. of spherical balls = 150
Let the rise in water be h cm.
Now, 150 × volume of a spherical ball = Volume of cylinder with height h.
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 86

Surface Areas and Volumes Class 10 Extra Questions HOTS

Question 1.
A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 87
Here, radius of the well = \(\frac{7}{2}\) = 1.5 m
1.5 m Depth of the well = 14 m
Width of the embankment = 4 m
∴ Radius of the embankment = 1.5 + 4 = 5.5 m
Let h be the height of the embankment.
∴ Volume of the embankment
= Volume of the well (cylinder)
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 88

Question 2.
A hollow cone is cut by a plane parallel to the base at some height and the upper portion is removed. If the curved surface area of the remainder is of \(\frac{8}{9}\) the curved surface of the whole cone, find the ratio of the two parts into which the cone’s altitude is divided.
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 89
In Fig, the smaller cone APQ has been cut off through the plane PQ || BC. Let r and R be the radii of the smaller and larger cone and l and L their slant heights respectively.
Here, in the adjoining figure
OQ = r, MC = R, AQ = l, AC = L.
Now, ∆AOQ ~ ∆AMC
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 90
Since, curved surface area of the remainder = \(\frac{8}{9}\) of the curved surface area of the whole cone,
therefore, we get,
CSA of smaller cone = \(\frac{1}{9}\) of the CSA of the whole cone
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 91
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 92
Hence, the required ratio of their heights = 1 : 2

Question 3.
The height of the cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be \(\frac{1}{27}\) of the given cone, at what height above the base is the section made?
OR
The height of a cone is 30 cm. From its topside a small cone is cut by a plane parallel to its base. If volume of smaller cone is \(\frac{1}{27}\) of the given cone, then at what height it is cut from its base?
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 93
Let the small cone APQ be cut off at the top by the plane PQ || BC
Let r and h be the radius and height of the smaller cone, respectively and also let the radius of larger cone = R
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 94
Hence, the smaller cone has been cut off at a height of (30 – 10) cm = 20 cm from the base.

Question 4.
Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/h. How much area will it irrigate in 30 minutes, if 8 cm of standing water is needed?
Solution:
We have, width of the canal = 6 m
Depth of the canal = 1.5 m
Now, length of water flowing per hour = 10 km
∴ Length of water flowing in half hour = 5 km = 5,000 m
∴ Volume of water flow in 30 minutes = 1.5 × 6 × 5,000 = 45,000 m3
Here, standing water needed is 8 cm = 0.08 m
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 95
= 562500 mo [1 hectare = 10000 m2]
= 56.25 hectares

Question 5.
A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find 8 cm the number of lead shots dropped in the vessel.
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 96
Solution:
We have,
Height of conical vessel = h = 8 cm and its radius = r = 5 cm
Now, volume of cone = Volume of water in the cone
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 97

Question 6.
A right triangle with sides 3 cm and 4 cm is revolved around its hypotenuse. Find the volume of double cone thus generated. (Use π = 3.14).
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 98
In the given Fig, ∆PQR is a right triangle, where PQ = 3 cm, PR = 4 cm and QR = 5 cm.
(by Pythagoras Theorem)
Let OQ = x ⇒ OR = 5 – x and OP = y
Now in right angled-triangle POQ, we have
PQ2 = OQ2 + OP2
⇒ (3)2 = x2 + y2 = y2 = 9 – x2 …..(i)
Also from right angled triangle POR, we have
OP2 + OR2 = PR2
⇒ y2 + (5 – x)2 = (4)2
⇒ y2 = 16 – (5 – x)2 ….. (ii)
From (i) and (ii), we get
9 – x2 = 16 – (5 – x)2
⇒ 9 – x2 = 16 – (25 + x2 – 10x)
or 9 – x2 = – 9 – x2 + 10x
⇒ 10x = 18
⇒ x = \(\frac{9}{5}\)
∴ OR = 5 – x = 5 – \(\frac{9}{5}\) = \(\frac{16}{5}\)
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 99

Question 7.
A right circular cone is divided into three parts by trisecting its height by two planes drawn parallel to the base. Show that the volumes of the three portions starting from the top are in the ratio 1 : 7 : 19.
Solution:
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 100
From figure it is clear that
∆ACO” ~ ∆AEO’ [By AA similarity] and
∆ACO” ~ ∆AGO [By AA similarity]
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 101
Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13 with Solutions Answers 102