A cement mixer is pouring concrete in a conical pile. At the time when the height and

Chapter 2, Problem 9

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A cement mixer is pouring concrete in a conical pile. At the time when the height and base radius of the concrete cone are, respectively, 30 cm and 12 cm, the rate at which the height is increasing is 1 cm/min and the rate at which the volume of cement in the pile is increasing is 320 cm3/min. At that moment, how fast is the radius of the cone changing?

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