Question

A solid sphere of radius 10cm is moulded into 8 spherical solid balls of equal radius. Then find the radius of small spherical balls

Answer 1

Radius of sphere, R = 10cm.

Let,radius of small spherical balls be r.

It is given that a solid sphere is moulded into 8 spherical solid balls.

So, Volume of sphere = 8(volume of one spherical ball)

4/3*pi*R^3 = 8*4/3*pi*r^3

R^3 = 8*r^3........(4/3 and pi gets cancelled)

10^3 = 8*r^3

1000= 8*r^3

125= r^3

5= r

i.e., r= 5cm


Hence, radius of each spherical balls is 5cm.


HOPE IT HELPS YOU .