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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.?

User Annish
by
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1 Answer

6 votes

Answer:

Hence the volume of the cone is 31384.52 cubic feet

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 =
(\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


(\pi (19.99)^2 75)/(3)=31384.52ft^(3)

Hence the volume of the cone is 31384.52 cubic feet

User Ekta
by
5.1k points
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