The radius of the base of the cone can be found by dividing the circumference by 2π:
radius = (8.5π)/(2π) = 4.25 inches
Using the formula for the volume of a cone, V = (1/3)πr^2h, we can substitute the values we know:
V = (1/3)π(4.25^2)(15) ≈ 270.62 cubic inches
Rounding to the nearest hundredth, the volume of the cone in terms of π is approximately 270.62π cubic inches.