Find the volume, in cubic inches, of a cone with a radius of 13 inches and a height of 27 inches. Round to the nearest hundredth. Use 3.14 for pi.
The formula for the volume of a cone is given by: V = (1/3) * π * r^2 * h
For this cone, r = 13 inches and h = 27 inches.
Substituting these values into the formula:
V = (1/3) * 3.14 * (13^2) * 27
V = (1/3) * 3.14 * 169 * 27
V = (1/3) * 3.14 * 4563
V = (1/3) * 14326.82
V = 4775.607 cubic inches
Rounding to the nearest hundredth, the volume of the cone is approximately 4775.61 cubic inches. Answer: \boxed{4775.61}.