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synic,
Since you seem to have a real world problem that needs an answer (not just a philosophical discussion).....
L=Length of the tank, R=Radius of the tank, H=Height of the water
V = L [ r^2 cos^-1((R-H)/R) - ((R-H) * sqrt(2RH - H^2)]
Note that when h=0, V=0 and when H=2R, V=pi*R^2*L as expected.
Q.E.D.
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