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Which Tanks Empty Faster?

1999
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The American mathematical monthly
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Suppose that water towers like those shown in Figure 1 are initially filled with water and have the same volume, height, and cross-sectional outlet area. Which one empties first? This problem arises naturally when designing watersupplying tanks or funnels. We find a formula expressing the emptying time as a function of the volume of liquid and its initial height. We compute the emptying time for several specific tank shapes, in particular, for those shown in Figure 1 . We also address the

doi:10.1080/00029890.1999.12005143
fatcat:7dwporktcrfqvegt2ggu7qhhji