Water leaks from a vertical cylindrical tank through a small hole in its base at a rate

Chapter 11, Problem 21

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Water leaks from a vertical cylindrical tank through a small hole in its base at a rate proportional to the square root of the volume of water remaining. If the tank initially contains 200 liters and 20 liters leak out during the first day, when will the tank be half empty? How much water will there be after 4 days?

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