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

Question

asked Jan 5, 2021 29.7k views

1 Answer

Metaphox · Answer 1 · 2021-01-12T12:31:46+0000

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