The radius of a cylinder is increasing at a constant rate of 3 meters per second, and the volume is increasing at a rate of 1542 cubic meters per second. At the instant when the radius of the cylinder is 55 meters and the volume is 912 cubic meters, what is the rate of change of the height? The volume of a cylinder can be found with the equation V=\pi r^2 h.V=πr 2 h. Round your answer to three decimal places.