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)](https://img.qammunity.org/2021/formulas/mathematics/high-school/wgx3de1u64x8x1916jbjx0u469a6a6527w.png)
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](https://img.qammunity.org/2021/formulas/mathematics/high-school/vnaun475a2spi89q10pqq2eg23xruhkfps.png)
hence the volume of the cone is
![(\pi (19.99)^2 75)/(3)=31384.52ft^(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/6y1qqz90wcb1nefni4htslrqyfrne4pnn1.png)
Hence the volume of the cone is 31384.52 cubic feet