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The height to which a cylinder vessel be filled with a homogenous liquid to make average force with which liquid presses the side of vessel equal to force exerted on bottom of vessel by liquid

The height to which a cylinder vessel be filled with a homogenous liquid to make average force with which liquid presses the side of vessel equal to force exerted on bottom of vessel by liquid

Grade:12

1 Answers

Arun
25763 Points
3 years ago
Dear Priyanshu
 
force on side walls = p halfway up * area of walls 
= (rho g h/2) pi d h
force on bottom = rho g h (pi d^2/4)
so 
2 rho g h^2 pi d = rho g h pi d^2
2 h = d
h = d/2
 
Regards
Arun (askIITians forum expert)

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