Question

Cone A has a surface area of 384 ft2 and Cone B has a surface area of 96 ft?. What is the ratio of their volume?

Answer 1

8 : 1

Explanation:

Given ratio of sides = a : b, then

ratio of area = a² : b²

ratio of volumes = a³ : b³

Given

ratio of areas = 384 : 96 = 4 : 1 ← in simplest form, then

ratio of sides =
`√(4)` :
`√(1)` = 2 : 1

Hence

ratio of volumes = 2³ : 1³ = 8 : 1