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}=(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=(155)/(2 \pi)} \\\\ {r=24.67 \mathrm{feet}}\end{array}`

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

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