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What is the base area of the cone?

What is the base area of the cone?-example-1

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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.

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