(Q2)A Cone of height 24cm and radius of base 6cm is made up of modelling clay. A child mould it in the form of a sphere.Find the radius of the sphere.

Volume of the cone =
1
3
 × π × 6 × 6 × 24 cm3
If r is the radius of the sphere, then its volume is
4
3
 πr3

Since the volume of clay in the form of the cone and the sphere remains the same,we have

4
3
 πr3 =
1
3
 π × × ×

r3 = × × = × × × 8

r3 = 3 × 3

r = × =

Therefore the radius of the sphere is cm.