Answer:
The volume of the dirt is [tex]412.5\ \text{feet}^3[/tex]
Step-by-step 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 :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
r is radius of cone shaped, r = 7.5 feet
[tex]V=\dfrac{1}{3}\times \dfrac{22}{7}\times (7.5)^2\times 7\\\\V=412.5\ \text{feet}^3[/tex]
So, the volume of the dirt is [tex]412.5\ \text{feet}^3[/tex].
