Answer:
The formula for the volume of a cone is:
V = (1/3)πr^2h
where V is the volume, r is the radius, and h is the height.
We are given that the volume of the cone is 144π cubic inches and the height is 12 inches. So we can plug these values into the formula and solve for r:
144π = (1/3)πr^2(12)
144 = 4r^2
r^2 = 36
r = ±6
Since a negative radius doesn't make sense in this context, we can discard the negative solution and conclude that the radius of the cone is 6 inches.