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This is not a good/valid question as the terms used in it are not compatible I.E. Surface tension has nothing to do with a cavity within the hull (filled or not with water)

Perhaps the question was meant to be: Is the displacementof the hull increased when a cavity within the hull of a vessel is filled with water?

To this, the answer is yes, as any weight added to the vessel, no matter where it is added (inside a cavity or not) will increase the displacement.

The displacement of a vessel such as a ship is a measure of the amount of water that would normally be in the area that the ship now occupies. The weight of this displaced water would be equal to the total weight of the entire ship.

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