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A potter forms a piece of clay into a right circular cylinder. As she rolls it,...

A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height hh of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is increasing by 0.4 centimeters per second. What is the rate at which the radius is changing when the radius is 4 centimeters and the height is 11 centimeters?

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