To find the radius of the cone, we can use the formula for the volume of a cone: V = (1/3)πr^2h, where V is the volume, r is the radius, and h is the height.
Given:
V = 12π cubic inches
h = 4 inches
We can rearrange the formula to solve for r:
12π = (1/3)πr^2(4)
First, let's simplify:
12π = (4/3)πr^2
Now, let's solve for r:
r^2 = (3/4) * 12
r^2 = 9
r = √9
r = 3 inches
So, the radius of the cone is 3 inches.
