(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A cylinder with radius five has water in it. The water flows out of the cylinder with a rate of 5π units cubed per minute. At what rate does the height of the fluid in the cylinder change?

2. Relevant equations

volume of a cylinder = [itex]πr^{2}h[/itex]

3. The attempt at a solution

I know the height of the cylinder is constant. I think using [itex]\int f(t) \mathrm{d} t = \frac{5}{2}πt^{2} + C[/itex] would help me, where [itex]f(t) = 5πt[/itex], or the amount of water released in t minutes.

Thanks for any help.

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# Homework Help: Calculate change in height of fluid in a cylinder based on flow out

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