### Solved 1. At a sand and gravel plant, sand is falling off a

1. At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 2 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 12 feet high? (Hint: The formula for the volume of a cone is V =.