Question

A big spherical ball of radius 32cm is melted into 64 small spheres of equal radius. Find the radius of each of smaller spheres

Answer 1

Radius of big sphere = 32cm

No. Of small spheres formed = 64

Volume of big sphere = n × volume of small sphere

4/3 × 22/7×32×32×32 = 64 × 4/3×22/7×r^3

32×32×32 = 64 × r^3

32×32×32 ÷ 64 = r^3

32×32×1/2=r^3

32×16 = r^3

r = 4 × 5.65.... ( square was transposed to opp.side and it became root)

r= 22.6 cm