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bea bernabeu
bea bernabeu
Spain

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by bea bernabeu
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heavy Eureka weight calculate equal crown mass volume Eureka volume sphere

Archimedes needed to determine if a goldsmith had embezzled gold during the manufacture of the royal crown for King Hiero I of Syracuse . How would you find out if a crown was made of gold or a cheaper alloy ? How would you know if the crown was a base metal with a golden exterior ? Gold is a very metal ( even heavier than lead , though lead has a higher atomic ) , so one way to test the crown would be to determine its density ( mass per unit ) . Archimedes could use scales to find the of the crown , but how would he find the volume ? Melting the crown down to cast it into a cube or would make for an easy calculation and an angry king .
After pondering the problem , it occurred to Archimedes that he could volume based on how much water the displaced . Technically , he didn't even need to weigh the crown , if he had access to the royal treasury since he could just compare the displacement of water by the crown with the displacement of water by an volume of the gold the smith was given to use . According to the story , once Archimedes hit upon the solution to his problem , he burst outside , naked , and ran through the streets yelling , " ! ! "
Some of this might be fiction , but Archimedes' idea to calculate the of an object and its density if you know the object's weight was fact . For a small object , in the lab , the easiest way to do this is to partly fill a graduated cylinder large enough to contain the object with water ( or some liquid in which the object won't dissolve ) . Record the volume of water . Add the object , being careful to eliminate air bubbles . Record the new volume . The volume of the object is the initial volume in the cylinder subtracted from the final volume . If you have the object's mass , its density is the mass divided by its volume .

 
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