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Class 10 Mathematics: Surface Area and Volumes
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MCQs on different solid shapes surface area and volume, cone frustum, solid conversion from one shape to another, solids combination surface area and volume.

Class 10 Mathematics: Surface Area and Volumes
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25 Questions

1. A solid is in the form of a cone mounted on a hemisphere. The radius and height of the cone are 3 m and 4 m. Find the volume of the given solid?
2. Find the lateral surface area of a rectangular room with a height of 22 m, length 27 m and a breadth of 23 m.
3. Find the total surface area of a frustum whose slant height is 18 cm and having radii as 8 cm and 16 cm.
4. The frustum of a cone has its circular ends radius as 5 cm and 15 cm where the height is given as 8 cm. Find the volume of the frustum.
5. What is the C.S.A of resulting solid if two identical cubes are joined end to end together with the length of the sides of the cube is 4 m?
6. Find the volume of the largest right circular cone that can be cut out of cube having 5 cm as its length of the side.
7. What is the formula required to use for T.S.A of an article which is made by digging out a hemisphere from each end of a solid cylinder?
8. A sphere of radius 14 cm is melted and cast into a number of tiny cones of radius 2.33 cm each and height 6 cm. Find the number of cones that will be formed?
9. Find the Lateral surface area of the frustum, if the slant height is 12 cm and having radii as 15 cm and 35 cm.
10. What is the formula for the volume of a right circular cone?
11. What is the skeletal formula to find the T.S.A of the tank consisting of a circular cylinder with a hemisphere attached on either end?
12. A sphere having a radius of 3 cm is melted and elongated into a wire having a circular cross-section of radius 0.1 cm. Find the length of the wire?
13. What is the volume of an article which is made by digging out a hemisphere from each end of a solid cylinder?
14. A well of depth 25 m with a radius 4 m is dug from the earth forming a platform of length 28 m and a breadth of 16 m. Find the height of the platform.
15. The lateral surface area of a right circular cone is 2020 cm2 and its radius is 10 cm. What is its slant height?
16. A metallic sphere whose radius is 4 cm is melted and cast into the shape of a right circular cone of radius 7 cm. Find the height of the cylinder?
17. A medicine capsule is in the form of a cylinder with two hemispheres joined together at the ends. Find the surface area if the length of the capsule is 14 mm and the width is 5 mm.
18. How many coins of 1 cm in diameter and thickness of 1.2 cm need to be melted to form a cuboid with dimensions of 5 cm × 10 cm × 4 cm?
19. Find the slant height if the frustum of height 10cm and having its diameter as 20 cm and 40 cm.
20. Find the volume of the right prism with an area of base 121 m2 and a height of 23 m.
21. What is the formula for the curved surface area of a rectangular circular cylinder?
22. A funnel is in the shape of a right circular cone with a base radius of 3 cm and a height of 4 cm. Find the slant height of the funnel.
23. Two cubes each of volume 27 cm3 are joined together. Find the surface area of the resulting solid?
24. Find the Lateral surface area of the frustum, if the slant height is 15cm and having radii as 14 cm and 21 cm.
25. A toy is in the form of a cone mounted on a hemisphere and a cylinder. The radius and height of the cone are 3 m and 4 m. Find the volume of the given solid?

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