Question: A water clock is a vessel that has a shape such that the liquid level h decreases at a constant rate. In this way, water

A water clock is a vessel that has a shape such that the liquid level h decreases at a constant rate. In this way, water level markings can be easily calibrated with elapsed time. Water clocks were used in antiquity. Determine the shape of an axisymmetric water clock, assuming that water flows out through an orifice at the bottom at a rate proportional to h^1/2.

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