Question

Two circular cylinders are similar. The ratio of the areas of their bases is 9:4. Find the ratio of the volumes of the similar solids

Answer 1

27 : 8

Explanation:

Given 2 similar figures with ratio of sides a : b, then

ratio of areas = a² : b² and

ratio of volumes = a³ : b³

Here the ratio of areas = 9 : 4, thus

ratio of sides =
`√(9)` :
`√(4)` = 3 : 2

ratio of volumes = 3³ : 2³ = 27 : 8