Q.

A cylindrical jar has radius r. To what height h should it be filled with a liquid so that the average force exerted by the liquid on the sides of the jar equals to the force exerted on the bottom ?

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a

h=r2

b

h=r

c

h=2r

d

h=4r

answer is B.

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Detailed Solution

Force exerted at the walls=Thrust force on botttom ρgh22πrh=ρghπr2 r=h
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A cylindrical jar has radius r. To what height h should it be filled with a liquid so that the average force exerted by the liquid on the sides of the jar equals to the force exerted on the bottom ?