Coarse sand is being dumped from a supply truck onto a beach at a rate of 24 ft/min. It forms a pile in the shape of a right circular cone whose base diameter is twice the height of the cone. How fast is the height of the sand pile increasing when the pile reaches a height of 13.7 ft? The height is increasing at ft/min. • The volume of a circular cone is V = h, where r is the radius of the base and h is the height of the cone.