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Fluid statics or hydrostatics is the branch of fluid mechanics which deals with the study of fluids at rest and the pressure exerted by it on an immersed object. If your question is about the study of fluids in motion, use the tag "fluid-dynamics" instead.
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Pressure versus mass and gravity
Take a ball of an ideal material which is incompressible and does not develop shear resistance: a perfect liquid.
Consider a cylinder with a small (infinitesimal) area, centrally drilled across the b …