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.

can you please answer this i don’t understand!

Answer 1

131.25π ≈ 412.33 feet³

Explanation:

They're asking you to find the volume of how much dirt the cone can hold.

The formula for the volume of a cone is
`(1)/(3) *`π*r²*h. Since they give us the measurements of the diameter and height, we need the radius. We can get the radius by diving the diameter into 2 parts. Diameter is 2 radii.

15÷2=

7.5

The radius is 7.5 feet.

Now we can use our formula to find out the volume:

`(1)/(3)`*π*7.5²*7=

`(1)/(3)`*π*56.25*7=

18.75*π*7=

131.25*π=

131.25π≈412.33