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Surface Areas and Volumes Class 10 MCQs Questions with Answers
Surface Area And Volume Class 10 MCQ Question 1.
If the surface areas of two spheres are in ratio 16 : 9, then their volumes will be in the ratio:
(a) 27 : 64
(b) 64 : 27
(c) 4 : 3
(d) 3 : 4
Answer
Answer: (b) 64 : 27
Surface Area And Volume MCQ Question 2.
A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio of their volumes?
(a) 3 : 1 : 2
(b) 3 : 2 : 1
(c) 1 : 2 : 3
(d) 1 : 3 : 2
Answer
Answer: (a) 3 : 1 : 2
Surface Area And Volume Class 10 MCQ With Answers Question 3.
If the area of three adjacent faces of cuboid are X, Y and Z respectively, then the volume of cuboid is:
(a) XYZ
(b) 3XYZ
(c) \(\sqrt{xyz}\)
(d) \(\sqrt{3xyz}\)
Answer
Answer: (c) \(\sqrt{xyz}\)
Class 10 Maths Chapter 13 MCQ Question 4.
The volumes of two spheres are in the ratio 27 : 8. The ratio of their curved surface is:
(a) 9 : 4
(b) 4 : 9
(c) 3 : 2
(d) 2 : 3
Answer
Answer: (a) 9 : 4
MCQ Of Chapter 13 Maths Class 10 Question 5.
The ratio of the volumes of two spheres is 8 : 27. If r and R are the radii of spheres respectively, then (R – r): r is:
(a) 1 : 2
(b) 1 : 3
(c) 2 : 3
(d) 4 : 9
Answer
Answer: (a) 1 : 2
MCQ On Surface Area And Volume Question 6.
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is:
(a) 27 : 20
(b) 20 : 27
(c) 9 : 4
(d) 4 : 9
Answer
Answer: (b) 20 : 27
MCQ On Surface Area And Volume Class 10 Question 7.
If the radius of base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of the reduced cylinder to that of the original cylinder is:
(a) 2 : 3
(b) 3 : 4
(c) 1 : 4
(d) 4 : 1
Answer
Answer: (c) 1 : 4
Surface Area And Volume MCQ Questions Class 10 Question 8.
If the volumes of a cube is 1728 cm³, the length of its edge is equal to:
(a) 7 cm
(b) 12 cm
(c) 18 cm
(d) 19 cm
Answer
Answer: (b) 12 cm
MCQ Surface Area And Volume Class 10 Question 9.
The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is: .
(a) 9.7
(b) 72.6
(c) 58.2
(d) 19.4
Answer
Answer: (d) 19.
Class 10 Surface Area And Volume MCQ Question 10.
The circumference of the edge of hemispherical bowl is 132 cm. When π is taken as \(\frac{22}{7}\), the capacity of bowl in cm³ is:
(a) 2772
(b) 924
(c) 19404
(d) 9702
Answer
Answer: (a) 2772
MCQ On Surface Area And Volume Class 10 Pdf Question 11.
The surface areas of two spheres are in the ratio 1 : 2. The ratio of their volume is:
(a) √2 : 1
(b) 1 : 2√2
(c) 1 : 8
(d) 1 : 4
Answer
Answer: (b) 1 : 2√2
MCQ Questions For Class 10 Maths Chapter 13 Question 12.
The radius of spherical balloon increases from 8 cm to 12 cm. The ratio of the surface areas of balloon in two cases is:
(a) 2 : 3
(b) 3 : 2
(c) 8 : 27
(d) 4 : 9
Answer
Answer: (d) 4 : 9
MCQ Questions For Class 10 Maths Surface Area And Volume Question 13.
Two cubes each of volume 8 cm³ are joined end to end, then the surface area of the resulting cuboid is:
(a) 80 cm²
(b) 64 cm²
(c) 40 cm²
(d) 8 cm²
Answer
Answer: (c) 40 cm²
Ch 13 Maths Class 10 MCQ Question 14.
A cylindrical pencil sharpened at one edge is combination of:
(a) a cone and a cylinder
(b) frustum of a cone and cylinder
(c) a hemisphere and a cylinder
(d) four cylinders
Answer
Answer: (a) a cone and a cylinder
MCQ Of Surface Area And Volume Class 10 Question 15.
Taking π = \(\frac{22}{7}\), if surface area of a sphere is 616 cm², then its diameter is:
(a) 7 cm
(b) 14 cm
(c) 56 cm
(d) 28 cm
Answer
Answer: (b) 14 cm
Question 16.
The area of the square that can be inscribed in a circle of radius 8 cm is (in cm²):
(a) 256
(b) 128
(c) 64√2
(d) 64
Answer
Answer: (b) 128
Question 17.
The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm² is:
(a) 60π cm²
(b) 68π cm²
(c) 1200π cm²
(d) 136π cm²
Answer
Answer: (d) 136π cm²
Question 18.
A shuttle cock used for playing badminton has the shape of a combination of:
(а) a cylinder and a sphere
(b) a cylinder and a hemisphere
(c) a cone and a sphere
(d) a frustum of a cone and a hemisphere
Answer
Answer: (d) a frustum of a cone and a hemisphere
Question 19.
The total surface area of a solid hemisphere of radius r is:
(a) 47πr²
(b) 2πr²
(c) \(\frac{4}{3}\)πr³
(d) 3πr²
Answer
Answer: (d) 3πr²
Question 20.
The radius of a wire is decreased to one third. If volume remains the same, the length will become:
(a) 3 times
(b) 6 times
(c) 9 times
(d) 27 times
Answer
Answer: (c) 9 times
Question 21.
The volume of a right circular cylinder is 345 cm³. Then, the volume of a right circular cone whose radius of the base and height is the same as of circular cylinder will be:
(a) 345 cm³
(b) 690 cm³
(c) 115 cm³
(d) 230 cm³
Answer
Answer: (c) 115 cm³
Question 22.
The slant height of a bucket is 26 cm. The diameter of upper and lower circular ends are 36 cm and 16 cm. then height of bucket is:
(a) 22 cm
(b) 24 cm
(c) 10 cm
(d) 25 cm
Answer
Answer: (b) 24 cm
Question 23.
The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is:
(a) 9.7
(b) 77.6
(c) 58.2
(d) 19.4
Answer
Answer: (d) 19.4
Question 24.
By melting a solid sphere of radius 5 cm a solid right circular cone of the same circular base radius is made. The height of cone is:
(a) 20 cm
(b) 10 cm
(c) 5 cm
(d) 12 cm
Answer
Answer: (a) 20 cm
Question 25.
A cylinder and a cone area of same base radius and of same height. The ratio of the volume of cylinder to that of cone is:
(a) 3 : 1
(b) 1 : 3
(c) 2 : 3
(d) 1 : 1
Answer
Answer: (a) 3 : 1
Question 26.
Eight solid sphere of same size are made by melting a solid metallic cylinder of base diameter 6 cm and height 32 cm. The diameter of each sphere is:
(a) 3 cm
(b) 6 cm
(c) 12 cm
(d) 8 cm
Answer
Answer: (b) 6 cm
Question 27.
The number of conical bottles of radius 2 cm and height 3.6 cm, required to empty the liquid from a cylindrical bottle of radius 6 cm and height 10 cm is:
(a) 100
(b) 9
(c) 75
(d) 20
Answer
Answer: (c) 75
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