Question

A cone-shaped pile of sawdust has a base diameter of 20 feet, and is 7 feet tall. Find the volume of the pile.

Answer 1

Answer:

About 733.04 feet

Step-by-step explanation:

Volume of Cone is given by the formula  $V=\frac{1}{3}\pi r^2h$

Where

• V is the volume
• r is the radius
• h is the height

Given height as 7 ft, and radius is 10 feet (Radius is half of diameter(20))

Substituting into formula, we get:

$V=\frac{1}{3}\pi r^2 h\\V=\frac{1}{3}\pi (10)^2(7)\\V=\frac{700\pi}{3}\\V=733.04$ ft

Answer 2

Answer:

733.04 feet$^3$

Step-by-step explanation:

We are given the base diameter of a cone shapes pile and with its height and we are to find its volume.

We know the formula for the volume of the cone:

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

So substituting the given values in it.

Volume of cone-shaped pile = $\pi (10)^2\frac{7}{3}$ = 733.04 feet$^3$.