First slide

Fluid statics

Question

The height to which a cylindrical vessel be filled with a homogeneous liquid, to make the average force with which the liquid presses the side of the vessel equal to the force exerted by the liquid on the bottom of the vessel, is equal to:

Easy

A

half of the radius of the vessel
B

radius of the vessel
C

one-fourth of the radius of the vessel
D

three-fourths of the radius of the vessel

Solution

Force at bottom = Force at side of vessel
${(P \times A)}_{bottom} = {(P \times A)}_{side} Hρg \times {πR}^{2} = (\frac{Hρg}{2}) \times 2 πRH \Rightarrow H = R$

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