Page 2 - Worksheet-4- Sa & V [Sphere]

15. If a sphere is inscribed in a cube, then prove that the ratio of the volume of the 3
cube to the volume of the sphere will be 6 : π.
16. Find the amount of water displaced by a solid spherical ball of diameter 4.2 cm, 3
when it is completely immersed in water.
17. Two solid spheres made of the same metal have weights 5920 g and 740 g, 4
respectively. Determine the radius of the larger sphere, if the diameter of the
smaller one is 5 cm.
18. Metal spheres, each of radius 2 cm, are packed into a rectangular box of internal 4
dimensions 16 cm x 8 cm x 8 cm. When 16 spheres are packed, the box is filled
with preservative liquid. Find the volume of this liquid. Give your answer to the
nearest integer, [use π = 3.14]
19. A sphere and a right circular cylinder of the same radius have equal volumes. By 4
what percentage does the diameter of the cylinder exceed its height?
20. A tent is in shape of a right circular cylinder up to a height of 3 m and a cone 4
above it. The maximum height of the tent above ground is 13.5 m. Calculate the
cost of painting the inner side of the tent at the rate of Rs 3 per sq. m, if the
radius of the base is 14 m.

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