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 = [tex]\frac{\pi r^2 h}{3}[/tex]
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 =
[tex]2 \pi r=125.6ft\\r =125.6/2 \pi=19.99ft[/tex]
hence the volume of the cone is
[tex]\frac{\pi (19.99)^2 75}{3}=31384.52ft^{3}[/tex]
Hence the volume of the cone is 31384.52 cubic feet
