Given data:
The given height of the cone is H=14 in.
The given radius of the cone is r=9 in.
The expression for the volume of the cone is,
[tex]V=\frac{1}{3}\pi(r)^2H[/tex]
Substitute the given values in the above expression.
[tex]\begin{gathered} V=\frac{1}{3}\pi(9in)^2(14\text{ in)} \\ =378\pi in^3 \\ =1,187.522in^3 \end{gathered}[/tex]
Thus, the volume of the given cone is 1,187.522 cube-inches.
