Hydraulics and Fluid Mechanics in ME
A hemispherical tank of radius (R) has an orifice of cross-sectional area (a) at its bottom and is full of liquid. The time required to empty the tank completely is

14π R3/2/15Cd × a √(2g)
14π R1/2/15Cd × a √(2g)
14π R5/2/15Cd × a √(2g)
14π R7/2/15Cd × a √(2g)

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Hydraulics and Fluid Mechanics in ME
The depth of centre of pressure (h) for a vertically immersed surface from the liquid surface is given by (where IG = Moment of inertia of the immersed surface about horizontal axis through its centre of gravity, A = Area of immersed surface, and x = Depth of centre of gravity of the immersed surface from the liquid surface)

(IG/Ax̅) - x̅
(Ax̅/IG) + x̅
(IG/x̅) - Ax̅
(IG/Ax̅) + x̅

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