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

733.04 feet
`^3`

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(7)/(3)` = 733.04 feet
`^3`.

Answer 2

About 733.04 feet

Explanation:

Volume of Cone is given by the formula
`V=(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=(1)/(3)\pi r^2 h\\V=(1)/(3)\pi (10)^2(7)\\V=(700\pi)/(3)\\V=733.04` ft