Q8 of 70 Page 21

If the surface area of a sphere is 144πm2, then its volume (in m3) is

Surface area of a sphere = 4πr2


Given, surface area of a sphere is 144πm2


⇒ 4πr2 = 144π


⇒ r = 6 m


Volume of the sphere = (4/3) × π × 63


⇒ Volume of the sphere = 288π m3

More from this chapter

All 70 →
6

A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be

 7

If the ratio of volumes of two spheres is 1: 8, then the ratio of their surface areas is

 9

If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each ball (in sq. cm) is

 10

The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is