20. A metallic sphere of radius 6 cm is melted and recast into the shape of a cylinder of radius 10 cm.
Find the base radius of this cylinder,
21. The surface areas of two spheres are in the ratio 1:2. Find the ratio of their volumes.
22. Find the number of balls each of diameter 2 cm that can be made from a solid sphere of radius 8 cm.
23. The diameter of a right circular cone is 14 metres and its slant height is 12 metres. Find its volume.
24. Find the cost of colouring the total surface area at the rate of 2 per sq. metre of the right circular
cone of slant height 12 metres and base radius 7 metres.
A brick measures 20 cm by 10 cm by 7 cm
25. A
cm. How many bricks will required for a wall 25 m long,
3
2 m high and m thick?
4
26. Find the length of the longest rod that can fit in a cubical vessel of side 10 cm.
27. If the volumes of two cones are in the ratio of 1:4 and their diameters are in the ratio of 4:5, then
what is the ratio of their heights ?
28. A sphere and a cube have equal surface areas. Find the ratio of the volume of the sphere to that of
the cube.
29. A metallic hemisphere is melted and recast in the shape of a cone with the same base radius Ras
that of the hemisphere. If the height of the cone is H. then find the relation between H and R.
30. If the length of a rectangle is decreased by 20%, then by what percent should the width be increased
so as to maintain the same area?
1. Each of the radius and the height of a right circular cylinder is increased by 10%. Find the percentage
increase in volume.
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