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

Volume of pile is 732.6 cubic ft

Explanation:

We are given a cone-shaped pile of sawdust, and we have to find the volume of this pile

Base diameter = 20ft

height, h = 7ft

Using the formula for Volume of Cone: πr²h/3

Where r is the radius of base:

First find out radius from diameter:

r =
`(d)/(2) = (20)/(2)` = 10ft

putting values fo radius, r and height h, in volume formula:

π = 3.14

v = πr²h/3 =
`(3.14*10^(2)*7 )/(3)\\\\(2198)/(3)\\`

v = 732.6

Answer 2

733.04 feet
`^3`

Explanation:

We know that a cone-shaped pile of sawdust has a base diameter of 20 feet, and is 7 feet tall.

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 the above formula:

Volume of cone-shaped pile =
`\pi (10)^2(7)/(3)` = 733.04 feet
`^3`.