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- What if Archimedes measured 'volume' of displaced water instead of 'weight'?

When I was reading this page to understand Archimedes' 'story' I got a question:

http://hyperphysics.phy-astr.gsu.edu/hbase/pbuoy.html#buoy

According to the example shown, Archimedes found the density of crown by finding the apparent weight. What if he had just measured the volume of water displaced instead? For example by measuring the level of water raised? This must be the same as thev olume of crown. Will this also not give density of the crown?

The question is just out of curiosity. Thanks already!

http://hyperphysics.phy-astr.gsu.edu/hbase/pbuoy.html#buoy

According to the example shown, Archimedes found the density of crown by finding the apparent weight. What if he had just measured the volume of water displaced instead? For example by measuring the level of water raised? This must be the same as thev olume of crown. Will this also not give density of the crown?

The question is just out of curiosity. Thanks already!