A cylinder is being filled such that the height of its contents is increasing at a rate of 5 cm /s. What is th
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A cylinder is being filled such that the height of its contents is increasing at a rate of 5 cm /s. What is th

[From: ] [author: ] [Date: 12-06-04] [Hit: ]
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A cylinder is being filled such that the height of its contents is increasing at a rate of 5 cm /s. What is the rate of change of the volume if r = 3 and V = πr^2h?

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V=πr^2h = 9πh because r^2 = 3^2 = 9

dV/dt = 9π * dh/dt = 9π * 5 cm/s = 45π cm^3

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