Question
Early Greeks could not measure volume to the same accuracy as can be done today, so this method may not have worked for Archimedes.A more
Early Greeks could not measure volume to the same accuracy as can be done today, so this method may not have worked for Archimedes.A more practical approach is as follows:
First, Archimedes would confirm that the crown had the mass of the gold provided originally: 3014 g.
Next, he tied the crown to a string tied to one end of the scale. Then he submerged the crown under water and found the mass required to exactly balance the scale. Let's say the scale balanced at 2845.4 g.
The difference between the mass of the crown in air and its mass while submerged is the mass of the water displaced by the crown.
The mass of the water provides a way to calculate the volume of water, provided you know that the density of water is
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