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Suppose there are two vessels. One of diameter = D and
other vessel dia = d. Suppose in vessel with dia D, water
is filled upto height H and vessel with dia d is empty. Now
both vessels are connected.Water will flow from D dia vesel
to small d dia vessel.Suppose after equilibrium height of
water in vessel with dia D is h. How much is h in terms of
D, d,H etc?

Answer Posted / sudip

If their base level is equal,then ans is "h" for both of them
else,
the volume of water decrease in "H" dia vessel=the volume occupied by that water in "h" dia vessel.
therefore the correct ans is
height=D^2*(H-h)/d^2

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