To what height h should a cylindrical vessel of diameter d be filled with a liquid so that the total force on the vertical surface of the vessel be equal to the force on the bottom ?
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a
h =d
b
h =2d
c
h= 3d
d
h = d/2
answer is D.
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Detailed Solution
Let r be the radius of the vessel.Force on the bottom =πr2×hρgMeal pressure on wall =12ρgh Total force on the wall =2πrh×12ρgh Now πr2×hρg=2πrh×(1/2)ρgh The gives h=r=(d/2)