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

Question

4 Oil is leaking from a pipeline on the surface of a lake and forms an oil slick whose volume increases at 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 Note the volume V of a right circular cylinder with radius r and height his given by V r h b A recovery device arrives on the scene and begins removing oil The rate at which oil is removed is R t 400 t cubic centimeters per minute where t is the time in minutes since the device began working Oil continues to leak at the rate of 2000 cubic centimeters per minute Find the time when the oil slick reaches its volume Just

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