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djverab [1.8K]
3 years ago
11

What is the volume of a right circular cone if the circumference of the base is 125.6 ft and the height is 75 ft.?

Mathematics
1 answer:
Eddi Din [679]3 years ago
3 0

Answer:

Hence the volume of the cone is 31384.52 cubic feet

Step-by-step explanation:

We must first need to understand how the volume of a cone is calculated.

It is simply calculated by multiplying the base area of the cone by the height, and dividing the result by 3.

This is :

Volume of cone = \frac{\pi r^2 h}{3}

we are not given the base area of the cone. However, we are given the circumference from which we can get the radius of the base.

Circumference =

2 \pi r=125.6ft\\r =125.6/2 \pi=19.99ft

hence the volume of the cone is

\frac{\pi (19.99)^2 75}{3}=31384.52ft^{3}

Hence the volume of the cone is 31384.52 cubic feet

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