The volume of a cone is modeled by the formula [tex]V= \frac{1}{3} \pi r^2h[/tex], where V is the volume, r is the radius, and h is the height.
We substitute our given values to get
[tex]V= \frac{1}{3} \pi(9)^2(12)= \frac{1}{3} \pi (81)(12) = 324 \pi \ in^3[/tex]
Now, we use an approximated value 3.14 for pi to get 1,017.36 cubic inches.