Answer:
[tex]18\pi[/tex] ft cubed
Step-by-step explanation:
The volume of a cone is: [tex]V=\frac{1}{3} \pi r^2h[/tex] , where [tex]\pi r^2[/tex] is the base and h is the height.
In this case, we see that the base is: [tex]\pi r^2=9\pi[/tex]. Solving for r, we see that the radius is [tex]\sqrt{9} =3[/tex].
The height is twice the radius, so h = 2 * 3 = 6. Now, we have all the necessary values that we can plug into the equation to get the volume:
[tex]V=\frac{1}{3} *9\pi *6=18\pi[/tex]
Thus, the answer is [tex]18\pi[/tex] ft cubed.
Hope this helps!
