King Hiero had provided pure gold to a goldsmith to fashion a crown. When the crown was finished, it had the same mass as the gold supplied....

This question
deals entirely with density and volume displacement.  Density is a measure of the mass of a
substance per unit volume, usually given in grams per milliliter.  The more dense a substance
is, the heavier 1 mL of it will be in comparison to 1 mL of a less dense substance.  Since the
volume of a rigid solid is not easy to directly measure, the easiest way to determine its volume
is to measure how much water it displaces in a tub filled with water. 

In
the story above, when the mass...