What is the base area of the cone?

Question

asked Jan 21, 2022 89.4k views

1 Answer

Nhoyti · Answer 1 · 2022-01-27T00:41:10+0000

Answer:

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.