Question

The radius of a cone is decreasing at a constant rate of 5 centimeters per minute,...

The radius of a cone is decreasing at a constant rate of 5 centimeters per minute, and the volume is decreasing at a rate of 148 cubic centimeters per minute. At the instant when the radius of the cone is 22 centimeters and the volume is 21 cubic centimeters, what is the rate of change of the height? The volume of a cone can be found with the equation V=1/3 pi r^2h. Round your answer to three decimal places.

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