Hydraulics & Fluid Mechanics
For a floating body to be in stable equilibrium, its metacentre should be

between e.g. and center of pressure
above the center of gravity.
below the center of buoyancy
above the center of buoyancy

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Hydraulics & Fluid Mechanics
The horizontal component of force on a curved surface is equal to the

weight of liquid vertically above the curved surface
force on the horizontal projection of the curved surface
product of pressure intensity at its centroid and area
force on a vertical projection of the curved surface

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