11. (5 points each) A boneless spherical turkey loses stuffing as it bakes in the oven. As the stuffing leaks out of the turkey at a constant rate of 7 cubic inch per minute, it forms a conical pile, whose
base radius is always equal to its height, on the bottom of the oven.
(a) Find the rate at which the radius of the turkey is changing when the radius is 10 inches.
(b) Find the rate at which the height of the pile is increasing when the pile is 5 inches tall.