MCQ Class 10 Surface Areas and Volumes Set III

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1. There will be total 30 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. The diameter of a copper sphere is 6 cm. The sphere is melted and recast into a wire. If the length of the wire is 36 cm, its radius is

Question 1 of 30

2. A cylinder, a cone and a hemisphere have equal base and height. Find the ratio of their volumes

Question 2 of 30

3. The area of the base of a cone is 616 sq. cm. If its height is 48 cm then its total surface area is:

Question 3 of 30

4. The radius of a cylindrical tank is 28m. If its capacity is equal to that of a rectangular tank of size 28mx16mx11m, then its depth is

Question 4 of 30

5. A right circular cylinder of radius r cm and height h cm (h>2r) just enclosed a sphere of diameter

Question 5 of 30

6. A circular cylinder shaped container having diameter 24 cm and height 10 cm is full of ice-cream. The ice-cream is to be filled into cones of height 8 cm and diameter 4 cm, having a hemispherical shape on the top. The number of such cones which can be filled with ice-cream is

Question 6 of 30

7. The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is

Question 7 of 30

8. The volume of a largest sphere than can be cut from cylindrical log of wood of base radius 1 m and height 4 m is:

Question 8 of 30

9. A cone and a cylinder have their heights in the ratio 4: 5 and their diameters are in the ratio 3: 2. The ratio of their volumes will be

Question 9 of 30

10. The internal radii of the ends of a bucket, full of milk and of internal height 16 cm are 14 cm and 7 cm. If this milk is poured into a hemispherical vessel, the vessel is completely filled. The internal diameter of the hemispherical vessel would be

Question 10 of 30

11. A rectangular paper is 44 cm long and 20 cm wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will be

Question 11 of 30

12. The radii of the circular ends of a conical curd container, 6 cm high are 16 cm and 24 cm. The volume of the container in litres will be

Question 12 of 30

13. A cylinder whose height is two thirds of its diameter has the same volume as a sphere of radius 4 cm. The radius of the base of the cylinder will be

Question 13 of 30

14. A toy is in the form of a cone mounted on a hemisphere of diameter 7 cm. The total height of the toy is 14.5 cm. The total surface area of the toy will be

Question 14 of 30

15. The total surface area of an open pipe of length 50 cm, external diameter 20 cm and internal diameter 6 cm will be

Question 15 of 30

16. An open container made up of a metal sheet is in the form of a frustum of a cone of height 8 cm with radii of its lower and upper ends as 4 cm and 10 cm respectively. The cost of the oil at the rate of Rs. 50 per litre, which can completely fill the container, will be

Question 16 of 30

17. The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) is

Question 17 of 30

18. The ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube is

Question 18 of 30

19. The surface area of a cube is equal to the surface area of a sphere. The ratio of their volumes will be

 

Question 19 of 30

20. A solid toy is in the form of a right circular cylinder with a hemispherical shape at one end and a cone at the other end. Their common diameter is 4.2 cm and the heights of the cylindrical and conical portions are 12 cm and 7 cm respectively. The approximate volume of the toy will be

Question 20 of 30

21. Volume of a hollow right circular cylinder is

Question 21 of 30

22. The material of a cone is converted into the shape of a cylinder of equal radius. If the height of the cylinder is 5 cm, then the height of the cone is

Question 22 of 30

23. A container is in the form of a hemispherical bowl mounted by a hollow cylinder. The diameter of the sphere is 24 cm and the total height of the container is 16 cm. Its capacity is

Question 23 of 30

24. If a cone is cut into two parts by a horizontal plane passing through the mid-points of its axis, the ratio of the volumes of the upper part and the cone is

Question 24 of 30

25. If a solid right circular cone of height 24 cm and base radius 6 cm is melted and recast in the shape of a sphere, then the radius of the sphere is

Question 25 of 30

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Question 26 of 30

27. How many coins 1.75 cm in diameter & 2 mm thick must be melted to form a cuboid 11 cm x 10 cm x 7 cm?

Question 27 of 30

28. The internal radii of the ends of a bucket, full of milk and of internal height 16 cm are 14 cm and 7 cm. If this milk is poured into a hemispherical vessel, the vessel is completely filled. The internal diameter of the hemispherical vessel would be

Question 28 of 30

29. If the radius of the base of a right circular cylinder is halved keeping the height same, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is
47

Question 29 of 30

30. If the radius of base of a cylinder is doubled and the height remains unchanged, its curved surface area becomes

Question 30 of 30

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