Answer:
282.6 cubic feet
Step-by-step explanation:
The volume of the cone is found using the volume formula for a cone [tex]V=\frac{1}{3}\pi r^2h[/tex].
Substitute h=7.5 and r = 6 (since the radius is half the diameter of 12).
[tex]V = \frac{1}{3}\pi r^2h\\V = \frac{1}{3}\pi (6^2)(7.5)\\V=\frac{1}{3}\pi *36*7.5\\V = \frac{847.8}{3}\\V= 282.6[/tex]