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Given a cylinder of a constant shape and size, how can the water level be calculated using the inside surface of the container?

For instance, could the inside lining of the container be a pressure sensitive foil of some sort, and using that pressure could the water level be calculated?

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Pressure will be hydrostatic, so $\rho g h$ with $h$ measured down from the surface of the water. Put a pressure sensor at the bottom of your container, and you can calculate the water level from that, yes. –  Jaime Nov 27 '12 at 0:09

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