1 Answer

MoustafaAAtta · Answer 1 · 2020-08-13T13:45:04+0000

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

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

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