Question

The ratio of the volume of two spheres is 27:125. What is the ratio of lengths of the radii?

Answer 1

3:5

Explanation:

V1 / V2 = 27 / 125

Volume of a sphere = 4/3πr³

(4/3πr₁³) / (4/3πr₂³) = 27/125

r₁³ / r₂³ = 27/125

r₁ / r₂ = [3√(27)] / [3√(125)]

r₁ / r₂ = 3/5

r₁:r₂ = 3:5

The ratio of the length of their radius is 3:5