7. AP 1995-AB 5, BC 3 As shown in the figure, water is draining from a conical tank with height 12 feet and diameter of 8 feet into a cylindrical tank that has a base with area 400 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. --8 feet- The volume V of a cone with radius r and height h is V h feet 1 a. Write an expression for the volume of the water in the conical tank as a function of h. b. At what rate is the volume of water in the conical tank changing when h = 3? Indicate units of measure. c. Let y be the depth, in feet, of the water in the cylindrical tank. At what rate is y changing when h = 3? Indicate units of measure. 12 feet