Answer: 400π
Explanation:
From the information given, the ratio of the heights is 5:2. This means that the scale factor is 5:2. This means that the ratio of the areas is
(5/2)^2 = 25/4 = 25:4
Thus,
base area of large cone/base area of small cone = 25/4
Given that base area of small cone is 64π, it means that
base area of large cone/64π = 25/4
By cross multiplying,
base area of large cone = 25/4x 64π
base area of large cone = 400π
