Answer:
9 inches
Step-by-step explanation:
The volume of a cone is: [tex]V=\frac{1}{3} \pi r^2h[/tex] , where r is the radius and h is the height.
Here, we know that V = [tex]486\pi[/tex] and that h = 18, so plug these in to solve for r:
[tex]486\pi =\frac{1}{3} \pi r^2*18[/tex]
Solving for r, we get:
486 = (1/3) * 18 * r^2
r^2 = 81
r = 9
Thus, the radius is 9 inches.
Hope this helps!
