A conical tank, point down, has a radius of 6 feet and a depthof 9 feet. Water is filling the tank and thus the volume of waterin the tank is changing with time, as is the depth of the water andthe radius of the surface of the water. Suppose that at the instantthe depth of the water is 4 feet, the depth of the water ischanging at an instantaneous rate of0.125 feet per minute. How fastis the volume of water in the tank changing at that instant?
