Question

The base radius of two circular cones of the same height are in the ratio 4:6.The ratio of their volume are ?​

Answer 1

64 : 216

Explanation:

Given the ratio of the heights = a : b, then

ratio of volumes = a³ : b³

Here the ratio of heights = 4 : 6 = 2 : 3 ← in simplest form, thus

ratio of volumes = 4³ : 6³ = 64 : 216 = 8 : 27 ← in simplest form