Question

A metal sphere of radius 9 is melted and transformed into three identical spheres. What are the radii of these spheres?

Answer 1

Radius of identical spheres = 6.24

Explanation:

Here volume remains constant.

Volume of big sphere = Volume of 3 identical small spheres.

Let r be the radius of small sphere,

We have

`(4)/(3)\pi * 9^3=3* (4)/(3)\pi * r^3\\\\3r^3=9^3\\\\r^3=243\\\\r=6.24`

Radius of identical spheres = 6.24