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The story of the Archimedes crown is likely a legend as there is no concrete historical evidence to support its veracity. It is often recounted as a popular anecdote to highlight Archimedes' intelligence and ingenuity.

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1y ago

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How does the acrchimedes crown story relate to matter?

The Archimedes story relates that Archimedes had been trying to determine if the King's crown was pure gold, without having to melt it down (destroying it) to see. Archimedes sat down in the tub and noted that the water rose in the tub, and that he realized that the volume of water displaced was equal to the volume of Archimedes himself. This gave him an insight into how to determine the volume of the crown; by submerging the crown in water and measuring how far the water rose, this would give him the volume of the crown. He could then weigh the crown and calculate the density of the crown, and determine that the crown was not pure gold.


Was Archimedes crown pure gold?

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


What is the story of the Archimedes and the kings gold?

The story of Archimedes and the king's gold revolves around King Hiero II of Syracuse, who suspected that a goldsmith had cheated him by mixing silver with a newly crafted crown. He turned to Archimedes for help in determining the crown's purity without damaging it. Inspired while taking a bath, Archimedes discovered that he could measure the crown's volume by submerging it in water, allowing him to compare its density to that of pure gold. His famous exclamation, "Eureka!" signifies his realization of the principle of buoyancy, which ultimately led him to confirm the crown's adulteration.


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.


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.


Who is Archimedes cousin?

Surprisingly it was King Hiero! That is why the king had called Archimedes first about his problem with his crown.


How did Archimedes solve the gold crown problem?

hi


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.


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.


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 did Archimedes want?

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


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.