A dump truck delivered sand to a construction site. The sand formed a conical pile with a diameter of 8 feet and a height that was 75% of the diameter. How many cubic feet of sand were in the pile? Express your answer in terms of pi.
The formula for the volume of a cone is: V = (1/3)·pi·r2·h
The diameter is 8 feet, so the radius is 4 feet.
The height is 75% of the diameter: 75% of 8 feet = 0.75 x 8 feet = 6 feet.
V = (1/3)·pi·r2·h = (1/3)·pi·42·6 = 32 pi cubic feet.