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November 08, 2025, 05:15:20 am

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GoodGuys

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question.
« on: October 07, 2009, 07:29:38 pm »
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Water is filling a cylinder which has a radius of 5cm. The height of the water in the cylinder is changing at the variabel rate of 1/T cm / sec. The rate, in cm cube / sec, at which the volume of the water in the cylinder is changing at T = 10 secs is?


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TrueTears

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Re: question.
« Reply #1 on: October 07, 2009, 07:35:56 pm »
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Flaming_Arrow

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Re: question.
« Reply #2 on: October 07, 2009, 07:39:15 pm »
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dh/dt = 1/T

dV/dt = dh/dt * dV/dh

V= pi r^2h
V= 25pi h
dV/dh = 25pi

dV/dt = 1/T * 25 pi

dV/dt = 1/10 * 25 pi
dV/dt = 5 pi /2 cm^3/s
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GoodGuys

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Re: question.
« Reply #3 on: October 07, 2009, 08:10:55 pm »
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Thanks bro.