Question

What is the volume of a cone that has a circumference of 155 feet and a height of 25 feet

Answer 1

The volume of a cone that has a circumference of 155 feet and a height of 25 feet is 15,933.34 $feet^3$

Solution:

We have been given that a cone that has a circumference of 155 feet and a height of 25 feet

We need to find the volume of the cone.

The formula to find the volume of the cone is:

$\text {Volume of cone}=\frac{1}{3} \pi r^{2} h$

Where "r" is the radius and "h" is the height

Finding the value of radius:

$\begin{array}{l}{\text {circumference of a circle }=2 \pi r} \\\\ {155=2 \pi r} \\\\ {r=\frac{155}{2 \pi}} \\\\ {r=24.67 \mathrm{feet}}\end{array}$

$\begin{array}{l}{\text {Volume of cone}=\frac{1}{3} \times \pi \times(24.67)^{2} \times 25} \\\\ {=15,933.34 \text { feet }^{3}}\end{array}$

Therefore, the volume of the cone is 15,933.34 $feet^3$