Differentiation: Increase in height of sand pile with volume

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately 3x the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?

Solution Summary

Sand is poured through a conveyor belt on a conical pile at a constant rate. The rate of increase in height is calculated.