CBSE Class 10 Maths MCQs: Surface Areas and Volume

Chapter 13 Surface Areas and Volumes has concepts of surface areas and volumes of different shapes like sphere, cube, cuboid, cone, cylinder, etc. The surface area and volume MCQs will assist the students to practice the concepts they have comprehended in this chapter. Revision of concepts through MCQs is a great way to prepare for your exams.Consistent hard work will definitely help you to achieve success. Well-grasped Chapter 13 Surface Areas and Volumes concepts and practice of MCQs are mandated to secure excellent marks in the board exam. These MCQs also help students to elevate morale, improve time management expertise and bring better precision to respond to the questions in the exam.

Surface Areas and Volumes Class 10 MCQs Questions with Answers

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: B

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: A

3. 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: A

4. 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: A

5. 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: B

6. 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: B

7. 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: D

8. 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: B

9. 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: C

10. 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: A

11. 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: B

12. A shuttle cock used for playing badminton has the shape of a combination of:

A. 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: D

13. 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: C

14. 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: B

15. 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: A

16. 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: B

17. 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: C

18. A cylindrical pencil sharpened at one edge is the combination of

A. a cone and a cylinder
B. frustum of a cone and a cylinder
C. a hemisphere and a cylinder
D. two cylinders.

Answer: A

19. A cone is cut through a plane parallel to its base and then the cone that is for medon one side of that plane is removed. The new part that is left over on the other side of the plane is called

A. a frustum of a cone
B. cone
C. cylinder
D. sphere

Answer: A

20. During conversion of a solid from one shape to another, the volume of the new shape will

A. increase
B. decrease
C. remain unaltered
D. be doubled

Answer: C

21. A metallic spherical shell of internal and external diameters 4 cm and 8 cm respectively, is melted and recast into the form of a cone with base diameter 8cm. The height of the cone is

A. 12cm
B. 14cm
C. 15cm
D. 18cm

Answer: B