Question

The volume of 2 spheres are in the ratio 125:64 .Find the ratio of the radii.

Answer 1

5:4 is the radii ratio

Answer 2

Volume of sphere is given by (4/3)πr³

The ratio of volumes is given by (4/3).×π×R1³
___________
(4/3) ×π×R2³

Therefore ratio of volume of spheres is the cubes of their radii

(R1/R2)³=125/64
(R1/R2)³=(5/4)³

Therefore the radii are in the ratio 5:4