Answer: The volume of a cone can be expressed as:
V = (1/3)πr^2h
where V is the volume, r is the radius, and h is the height of the cone.
We are given that the volume of the cone is 4.5π cubic inches and the height is 13.5 inches. Substituting these values into the equation above, we get:
4.5π = (1/3)πr^2(13.5)
Simplifying this equation, we get:
r^2 = (4.5π * 3) / (13.5π)
r^2 = 1
Taking the square root of both sides, we get:
r = 1 inch
Therefore, the measure closest to the radius of the cone is 1 inch.