Oil is leaking from a pipeline on the surface of a lake and forms an oil slick whose volume increases a
constant rate of 2000 cubic centimeters per minute. The oil slick takes the form of a right circular cylinder with both its radius and height changing with time.
(a) At the instant when the radius of the oil slick is 100 centimeters and the height is 0.5 centimeter the
radius is increasing at the rate of 2.5 centimeters per minute. At this instant, what is the rate of change
of the height of the oil slick with respect to time, in centimeters per minute?