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Q: How did Archimedes solve the gold crown problem?
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What problem did king hiero want Archimedes to solve?

During Archimedes' time in Syracuse, King Hieron, the king of Syracuse and a close friend of Archimedes, commissioned the construction of a beautiful golden crown. When the goldsmith returned the crown, the king suspected him of stealing some of the gold and replacing it in the crown with silver. The king wanted to make sure that he got all of his gold back, so he asked Archimedes to discover the true contents of the crown.


How did Archimedes solve the King's problem?

He discovered the difference in density between gold and silver when placed under water, and noticed that the crown was not pure gold. The crowns maker was later beheaded.


Who consulted Archimedes regarding an object that was made of Gold?

Hiero II, the King of Syracuse, wanted Archimedes to determine if gold had been withheld from a crown by the goldsmith commissioned to make it. Without damaging the crown, Archimedes used water displacement to prove that the gold was not all there.


Why did Archimedes shout 'eureka'?

According to legend, Archimedes shouted "Eureka!" (which means "I have found it!") while running down the streets naked. The reason he did this is because he found out that, a body immersed in water has a buoyant force equal to the weight of the water that it displaces. He was able to find out if the kings crown was really made of pure gold this way (and it wasn't).


Which noun gold is?

The noun 'gold' is a common, concrete, uncountable noun; a word for a substance; a word for an element, a thing.The word 'gold' is also an adjective, a word that describes a noun: a gold watch, a gold crown.

Related questions

What problem did king hiero want Archimedes to solve?

During Archimedes' time in Syracuse, King Hieron, the king of Syracuse and a close friend of Archimedes, commissioned the construction of a beautiful golden crown. When the goldsmith returned the crown, the king suspected him of stealing some of the gold and replacing it in the crown with silver. The king wanted to make sure that he got all of his gold back, so he asked Archimedes to discover the true contents of the crown.


How did Archimedes solve the King's problem?

He discovered the difference in density between gold and silver when placed under water, and noticed that the crown was not pure gold. The crowns maker was later beheaded.


Was Archimedes crown pure gold?

Yes Archimedes crown was pure gold. how they know this is that they weighed the dentisity of the crown.


How was density used to detect fraud?

Archimedes was told by the king to find out if his crown was made of pure gold, calculating the density of the crown, Archimedes found it to be a mix of gold and silver.


Who discovered water resistance?

Archimedes, a Greek mathematician, scientist, and inventor, is credited with discovering the concept of water resistance. He first observed this principle when attempting to solve the problem of measuring the purity of a gold crown by immersing it in water. This led to his famous principle of buoyancy, also known as Archimedes' principle.


What did Archimedes want?

Archimedes wanted to know the density of gold to determine if the crown was partially silver rather than all gold.


Who consulted Archimedes regarding an object that was made of Gold?

Hiero II, the King of Syracuse, wanted Archimedes to determine if gold had been withheld from a crown by the goldsmith commissioned to make it. Without damaging the crown, Archimedes used water displacement to prove that the gold was not all there.


What is Archimedes gold demur?

You may be referring to the story of how Archimedes was able to determine if a crown had been made of pure gold (or less-than-pure gold) by measuring how much water the crown and an equal weight of pure gold displaced.


If Archimedes had only been able to find a piece of pure gold with a mass one-half that of the crown how could he have determined whether the crown was pure gold?

Archimedes came across concept of density - that is MASS divided by VOLUME. For each substance this ratio is different but a CONSTANT for that substance. Thus the mass you are dealing with is irrelevant if the crown had the same ratio as the piece of pure gold then the crown was pure god, if it did not then the crown was not gold.


Why did Archimedes invent the golden crown?

Archimedes thought that if the gold crown and the gold bar had the same mass and volume, the crown was pure gold and if they didn't, the crown was a fake and the jeweller was a fraud. (I just had to do this for homework. I'm right!)


How do Archimedes prove that the king's crown was not solid gold?

Archimedes used water displacement to determine the volume of the crown and compared it to the volume of pure gold of the same weight. If the crown's volume was greater, meaning it had been alloyed with a less dense metal, then the king's crown was not made of solid gold.


Why did Archimedes decide that the goldsmith that made the kings crown should be excecuted?

During Archimedes' time in Syracuse, King Hieron, the king of Syracuse and a close friend of Archimedes, commissioned the construction of a beautiful golden crown. When the goldsmith returned the crown, the king suspected him of stealing some of the gold and replacing it in the crown with silver. The king wanted to make sure that he got all of his gold back, so he asked Archimedes to discover the true contents of the crown. If Archimedes could determine the crown's true contents, he could tell the king whether or not the goldsmith gave him all of his gold back. Archimedes pondered this problem for some time, and one fateful morning in the baths of Syracuse he found the answer. Archimedes was stepping into the tub when he noticed that this action caused some of the water in the tub to overflow. He suddenly realized that the volume of the water that was being displaced equaled the volume of his body in the tub. He then ran through the streets of Syracuse naked yelling "Eureka," which means "I found it." He believed that he could measure the volumes of all irregular solids by placing them in water and noting the amount of water displaced. He solved the king's problem by placing equal masses of gold and silver in water. The silver had a greater volume because it displaced more water. That meant that the silver was less dense than the gold because it had the same weight but a larger volume. Archimedes then compared the lump of gold to the crown. The two had the same mass, but when Archimedes measured their volumes, the crown had a larger volume. Therefore, the crown was less dense and not made of pure gold. The king thus knew that the goldsmith had replaced some of the gold in the crown with silver, and he had the goldsmith executed.