The formula for calculating the volume of a cone (pile) is expressed as:
[tex]V=\frac{1}{3}\pi r^2h[/tex]r is the radius
h is the height of the cone (pile)
Given
Base diameter = 30 feet
radius = diameter/2
radius = 30/2
radius = 15 feet
height = 10feet
Required
Volume of the pile
To get the volume, you will substitute the given data into the formula as shown;
[tex]\begin{gathered} V\text{ = }\frac{1}{3}\pi(15)^2(10) \\ V\text{ = }\frac{1}{3}\pi(225)(10) \\ V=\frac{1}{3}(3.14)(2250) \end{gathered}[/tex]Evaluate the final expression;
[tex]\begin{gathered} V\text{ =}\frac{7065}{3} \\ V\text{ = }2355ft^3 \end{gathered}[/tex]Hence the volume of the pile is 2355ft^3