Question

An isosceles right triangle whose legs are 6 is rotated about one of its legs to generate a right circular cone. What is the volume of the cone?

Answer 1

`V = 72 \pi`

Explanation:

The radius of the base is one of the legs, so it is 6.

The height of the cone is the other leg, so it is also 6.

`V = (1)/(3) \pi r^2 h`

`V = (1)/(3) (\pi)(6^2)(6)`

`V = (\pi)(36)(2)`

`V = 72 \pi`