FYKOS Year 35 Series 5 Problem 3 — under the lid · FYKOS 35 #35.5.3

Physics · thermodynamics

Problem

A lid has a shape of a hollow cylinder of radius 6.00 cm6.00\,\mathrm{cm}. The lid under which is an air of atmospheric pressure 1 013 hPa1~013\,\mathrm{hPa} is placed in a horizontal washbasin. While doing the dishes, we start filling the washbasin with water at room temperature. The water also gets under the lid and compresses the air trapped inside. At a certain moment, the lid starts floating. At what height is the water level at that moment? The lid weighs 200 g200\,\mathrm{g}, its height is 2.00 cm2.00\,\mathrm{cm} and negligible volume.

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