Question

A sphere and a cube are of the same height. The ratio of their volumes is

(a) 3 : 4

(b) 21 : 11

(c) 4 : 3

(d) 11 : 21

Answer 1

In the given problem, we have a sphere and a cube of equal heights. So, let the diameter of the sphere and side of the cube be x units.

So, volume of the sphere (V₁) =

Volume of the cube (V₂) =

So, to find the ratio of the volumes,

Therefore, the ratio of the volumes of sphere and cube of equal heights is . So, the correct option is (d).