An inverted cone has a height of 15 mm and a radius of 16 mm. The volume of the inverted cone is decreasing at a rate of 534 cubic mm per second, with the height being held constant. What is the rate of change of the radius, in mm per second, when the radius is 6 mm? Round your answer to the nearest hundredth. (Do not include any units in your answer.) Remember that the volume of a cone is V=1/3 πr2 h.

Question

An inverted cone has a height of 15 mm and a radius of 16 mm. The volume of the inverted cone is decreasing at a rate of 534 cubic mm per second, with the height being held constant. What is the rate of change of the radius, in mm per second, when the radius is 6 mm?

Round your answer to the nearest hundredth. (Do not include any units in your answer.)

Remember that the volume of a cone is V=1/3 πr2 h.

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