Question: Liquid water with density is filled on top of a thin piston in a cylinder with cross-sectional area A and total height H. Air

Liquid water with density ρ is filled on top of a thin piston in a cylinder with cross-sectional area A and total height H. Air is let in under the piston so it pushes up, spilling the water over the edge. Deduce the formula for the air pressure as a function of the piston elevation from the bottom, h.

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