Oil is leaking from a pipeline on the surface of a lake and forms an oil slick whose volume increases at a

Question

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.
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 a 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?

Answer 1

V = πr^2 h
dV/dt = 2πr h dr/dt + πr^2 dh/dt
This is just like your other cylinder problem