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Pumping out a Tank

Pumping out a Tank. How rapidly will the fluid level inside a vertical cylindrical tank drop if we pump the fluid out at the rate of 3000 L/min?. Cont’d. r. h. Fluid Volume: V = π r 2 h. Cont’d.

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Pumping out a Tank

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  1. Pumping out a Tank How rapidly will the fluid level inside a vertical cylindrical tank drop if we pump the fluid out at the rate of 3000 L/min?

  2. Cont’d r h Fluid Volume: V = πr2h

  3. Cont’d • AS time passes, the radius remains constant but V and h change. We think of V and h as differentiable function of time and use t to represent time. We have

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