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Svetradugi [14.3K]
3 years ago
13

What is the base area of the cone?

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0

Answer:

Step-by-step 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=\frac{1}{3}\pi r^2h and fill in the givens:

75=\frac{1}{3}\pi r^2(5) and solve that for r;

r=\sqrt{\frac{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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