Water is draining from a conical tank with a height of 12 feet and diameter of 8 feet into a cylindrical tank that has a base with area 400pi square feet. The depth h, in feet, of the water in the conical tank is changing at a rate of (h-12) feet per minute.
(a) Write an expression for the volume of water in the conival tank as a function of h.
(b) At what rate is the volume of water in the conical tank changing when h=3?
Thanks for your help.