The radius of a cylinder is increasing at a constant rate of 7 inches per second, and the volume is increasing at a rate of 1474 cubic inches per second. At the instant when the height of the cylinder is 9 inches and the volume is 457 cubic inches, what is the rate of change of the height? The volume of a cylinder can be found with the equation. V=(π)(r^2)(h). Round your answer to three decimal places.