First slide

Fluid statics

Question

A cylinder of radius R is filled with water up to a height II, so that the thrust on the walls is equal to that on bottom. The relation between H and R is

Easy

A

H=R /2
B

H=R
C

H/2 =R
D

H = 2R

Solution

Thrust on the bottom of the cylinder
$= ({πR}^{2}) Hρg Thrust on the wall of the cyiinder = (2 πRH) (Hρg / 2) ∴ ({πR}^{2}) Hρg = (2 πRH) (Hρg / 2) Solving, we get H = R$

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