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Suppose that an air-filled cone-shaped balloon has a leak causing air to escape at a rate of 24 cm^3/sec. (You can assume the balloon is

Suppose that an air-filled cone-shaped balloon has a leak causing air to escape at a rate of 24 cm^3/sec. (You can assume the balloon is a perfect right circular cone.) The height of the balloon is always three times the radius. At what rate is the radius of base of the balloon changing when the radius is 2 cm?

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