Question

A truckload of fill dirt is dumped in front of a newly-built home. The pile of dirt is cone-shaped. It has a height of 7 feet and a diameter of 15 feet. Find the volume of the dirt to the nearest hundredth.

Please help me with this

Answer 1

The volume of the dirt is
`412.5\ \text{feet}^3`

Explanation:

We have, a truckload of fill dirt is dumped in front of a newly-built home. The pile of dirt is cone-shaped.

Height of pile of dirt is 7 feet and its diameter is 15 feet.

It is required to find the volume of the dirt.

The formula of the volume of cone is given by :

`V=(1)/(3)\pi r^2 h`

r is radius of cone shaped, r = 7.5 feet

`V=(1)/(3)* (22)/(7)* (7.5)^2* 7\\\\V=412.5\ \text{feet}^3`

So, the volume of the dirt is
`412.5\ \text{feet}^3`.