Question

A spherical ball of lead of radius 14 cm is melted and recast into spheres of radius 2 cm. The number of the small spheres is ?

Answer 1

Let the number of small spheres be x.
Volume of spherical balls=x*Volume of small sphere
4/3ΠR³=x*4/3Πr³ R=14 cm & r=2 cm
4/3*22/7*14*14*14=x*4/3*22/7*2*2*2
4*22*2*14*14/3=x*4*22*8/21
34496/3=x*704/21
x=34496*7/704
x=49*7
x=343
Hence, 343 small spheres are formed .