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Odd but good question.

It's instructive to know a little about buoyancy. A floating object will always displace its own weight in water.

If I have an icecube that weights 10g and put it into some water, it will be semi-submersed. The volume of water it displaces is equal to the volume of the icecube that is under water. That volume, if it were water, would weigh the same as the ice cube.

So our ship has displaced it's own weight in water. When the ship is on fire, its weight does not change and so the displaced water weighs the same, hense its volume is also the same. Simple as that.

This is of course ignoring several very minor effects:

If fumes escape the burning ship, its weight will change slightly.

Our archimedes-style analysis also does not account for surface tension (which will change as water heats up around the burning boat and also as the hull expands) but I guarentee you this effect is too small to matter or perhaps even measure.

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13y ago

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