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The radius r of a right circular cylinder is increasing at the of 5 cm/min and its height h, is decreasing at the rate of 4 cm/min.

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The radius r of a right circular cylinder is increasing at the of 5 cm/min and its height h, is decreasing at the rate of 4 cm/min. When r = 8 cm and h = 6 cm, find the rate of change of the volume of cylinder.

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dr/dt = 5 cm/min

dh/dt = -4 cm/min

V = πr2h

.. . Volume is increasing at the rate of 224π cm3/min.

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