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Real-World Applicationshard
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A liquid is leaking from a cylindrical tank of radius RRR at a rate proportional to h\sqrt{h}h​. If the height h(t)h(t)h(t) satisfies dhdt=−kh\frac{dh}{dt} = -k\sqrt{h}dtdh​=−kh​, and the tank empties in TTT minutes, what is h(t)h(t)h(t) in terms of TTT?