8. (6 pts) Sand is being dumped from a conveyor belt at a ra…
8. (6 pts) Sand is being dumped from a conveyor belt at a rate of 35 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 6 feet high? Round your answer to four decimal places. Note that the volume of a cone is given by V = (1/3) πr2h where r is the radius of the base of the cone and h is the height of the cone.