Two spheres M and N have volumes of 250 cubic cm and 750 cubic cm respectively. Find the ratio of their radii

Question

Find the ratio of their radii

Answer 1

The volumes of two similar figures are in the ratio as the cube of the scale factor.

The scale factor is 3, therefore the scale factor is ³√3.

Answer 2

Sphere M has volume (4/3)π(r₁)³ = 250

 

Sphere N has volume (4/3)π(r₂)³ = 750

 

Dividing, we have (r₂)³/(r₁)³ = 750/250 = 3

 

So, r₂/r₁ = 3^1/3