Class 10 Maths Chapter 13 Surface Areas and Volumes MCQ

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Class 10 Maths Chapter 13 Surface Areas and Volumes MCQ


1. The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is:





ANSWER= D. 19.4

 

2. 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:





ANSWER= A. 20 cm

 

3. 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:





ANSWER= A. 3 : 1

 

4. 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:





ANSWER= B. 6 cm

 

5. 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:





ANSWER= C. 75

 

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





ANSWER= C. a cone and a cylinder

 

7. A shuttlecock used for playing badminton has the shape of the combination of





ANSWER= D. frustum of a cone and a hemisphere

 

8. Surface Area And Volume Class 10 MCQ 4. The total surface area of a hemispherical solid having radius 7 cm is





ANSWER= A. 462 cm² Explaination: Reason: Total surface area of hemisphere = 3πr² = 3 × 227 × 7 × 7 = 462 cm²

 

9. If the surface areas of two spheres are in ratio 16 : 9, then their volumes will be in the ratio:





ANSWER= B. 64 : 27

 

10. A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio of their volumes?





ANSWER= A. 3 : 1 : 2

 

11. The volumes of two spheres are in the ratio 27 : 8. The ratio of their curved surface is:





ANSWER= A. 9 : 4

 

12. 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:





ANSWER= A. 1 : 2

 

13. 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:





ANSWER= B. 20 : 27

 

14. 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:





ANSWER= C. 1 : 4

 

15. If the volumes of a cube is 1728 cm³, the length of its edge is equal to:





ANSWER= B. 12 cm

 

16. The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is: .





ANSWER= D. 19.4

 

17. The circumference of the edge of hemispherical bowl is 132 cm. When π is taken as 227, the capacity of bowl in cm³ is:





ANSWER= A. 2772

 

18. The surface areas of two spheres are in the ratio 1 : 2. The ratio of their volume is:





ANSWER= B. 1 : 2√2

 

19. The radius of spherical balloon increases from 8 cm to 12 cm. The ratio of the surface areas of balloon in two cases is:





ANSWER= D. 4 : 9

 

20. Two cubes each of volume 8 cm³ are joined end to end, then the surface area of the resulting cuboid is:





ANSWER= C. 40 cm²

 

21. A cylindrical pencil sharpened at one edge is combination of:





ANSWER= A. a cone and a cylinder

 

22.Taking π = 227, if surface area of a sphere is 616 cm², then its diameter is:





ANSWER= B. 14 cm

 

23. The area of the square that can be inscribed in a circle of radius 8 cm is (in cm²):





ANSWER= B. 128

 

24. The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm² is:





ANSWER= D. 136π cm²

 

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





ANSWER= D. a frustum of a cone and a hemisphere

 

26. The total surface area of a solid hemisphere of radius r is:





ANSWER= D. 3πr²

 

27. 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:





ANSWER= B. 24 cm

 

28. Surface Area And Volume Class 10 MCQ 9. A piece of paper is in the shape of a semi¬circular region of radius 10 cm. It is rolled to form a right circular cone. The slant height is





ANSWER= B. 10 cm Explaination: Reason: Slant height l = r

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