Question: A right circular cone is undergoing a transformation in such a way that the radius of the cone is increasing at a rate of 1/2

A right circular cone is undergoing a transformation in such a way that the radius of the cone is increasing at a rate of 1/2 inches per minute while the height of the cone is decreasing at a rate of 1/3 inches per minute. At the moment the radius of the cone is 2 in and the height of the cone is 1/3 in, find the rate of change of the volume of the cone. Simplify your answer and be sure to include units with your answer.

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