Question

A cone-shaped pile of sawdust has a base diameter of 38 feet, and is 15 feet tall. Find the volume of the pile. ft. 3 Round your answer to the nearest tenth if necessary.

Answer 1

Answer:

The volume of the pile is 5670.6 ft³

Explanations:

The volume of a cone is given by the formula:

$V\text{ = }\frac{\pi r^2h}{3}$

The base diameter of the cone, d = 38 feet

The radius, r = d/2

r = 38/2

r = 19 feet

The height of cone, h = 15 feet

Substituting the values of r and h into the formula for the volume of a cone:

$\begin{gathered} V\text{ = }\frac{\pi\times19^2\times15}{3} \\ V\text{ = }\pi\times19^2\times5 \\ V\text{ = }3.142\text{ }\times361\times5 \\ V=5670.6ft^3 \end{gathered}$

The volume of the pile is 5670.6 ft³