Question

What is the base area of the cone?

Answer 1

Explanation:

In order to find the area of the circle base, we need the radius, and we don't have it. We'll use the volume to find the radius, as follows:

`V=(1)/(3)\pi r^2h` and fill in the givens:

`75=(1)/(3)\pi r^2(5)` and solve that for r;

`r=\sqrt{(3(75))/(5\pi) }` so

r = 3.784698783 and plug that in for the radius to find the area of the circle base:

`A=\pi r^2` so

`A=\pi (3.784698783)^2` gives you that

A = 45 meters squared, exactly. No decimal.