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Archimedes' Principle

A cylinder is...

Question

A cylinder is filled with a liquid of density 'd' up to a height 'h'. If the beaker is at rest, then determine the mean pressure on the wall is?

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Solution

pressure at the top= $0$ pa
pressure at the bottom= $d g h$
Since, in the static fluid , the pressure at the same horizontal level remains the same. And also the pressure is varying linearly with the height.
So, average pressure= $(0 + d g h) / 2 = d g h / 2$

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