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

Updated: 9/27/2023

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Q: How do Archimedes prove that the king's crown was not solid gold?
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What is the story behind Archimedes principle?

The Story Behind the ScienceHieron, the king of Syracuse and Archimedes' friend, wanted to know whether his crown was made of solid gold. The king suspected that the gold had been mixed with silver, which is worth less than gold. So he asked Archimedes to try to resolve the question. The solution would have been easy if the king had allowed the crown to be melted down. Since that was no possible, Archimedes had to find another solution to determine the metal content of the crown. Archimedes discovered the answer while at a public bath. He noticed that when he got into the water, it overflowed the tub. By measuring the overflow, he found that the volume-the amount of space a thing occupies-of the spilled water was equal to the volume of his body under water. He realized he could determine the gold content of the crown by measuring the water it would displace against the amount of water displaced by a lump of gold weighing the same as the crown. The crown and lump of gold would each displace the same amount of water if the crown were solid gold. If the crown contained silver, it would displace more water, since the volume of a weight of silver is greater than the volume of the same weight of gold. With this discovery, Archimedes leaped from his bath and in his excitement raced naked down the street toward his home, shouting "EUREKA! I have found it!"Archimedes was the first to develop the physical law that is now known as Archimedes' law. The law explains buoyancy, or why objects seem to lose weight in water or other liquids. This principle has been applied ever since to test precious metals.

Who invented the law of displacement?

The mathematician Archimedes of Syracuse.The most common story (which was first told by Vitruvius but doesn't pop up in Archimedes' known works) goes that King Hiero II had a votive crown forged for a temple, and he supplied the pure gold the goldsmith was to use. However, when he got the crown, the King asked Archimedes to determine whether the goldsmith had used all of the gold supplied or substituted silver for some of the gold. Archimedes couldn't melt the crown down into a regular shape to find its density, because he had to leave the crown intact, so he puzzled over the problem for some time. While taking a bath one day, he noticed that the water level rose as he stepped in, and realized that he could use this effect to solve the problem, and supposedly ran through the streets screeching "&Icirc;&micro;&aacute;&frac12;&bull;&Iuml;&#129;&Icirc;&middot;&Icirc;&ordm;&Icirc;&plusmn;!" (heureka!, Greek for "I've found it!") naked. When he performed the test with the crown, he found that the goldsmith had indeed substituted silver for some of the gold.

its archimedas

Why is Archimedes' principle method called Archimedes' principle?

Archimedes principle is 'When a solid body is immersed wholly or partially in a liquid, then there is same apparent loss in its weight. This loss in weight is equal to the weight of the liquid displaced by the body.' It was given by Archimedes so it was named after him.

What principle is involved in the determination of the volume of an irregularly shaped water insoluble solid?

This is the Archimedes principle.

What is theprocess used in determining the volume of an irregular solid?

Archimedes law for the use of a full cup size.

What evidence is there that the Earth is solid and made of layers?

You can stand on it which proves its solid, there are volcano's which prove its not solid in the center

Archimedes was a great scientist an d engineer of GreeceOnce man asked him to determine the weight of his gold crownAnd the scientist made it possibleDo you know how is it possibleexplain the phen?

If he wanted to know that weight of his crown, then all he had to do was weigh it. There is no secret to that. Actually, the story is that the king had given the goldsmith some gold to make into a new crown, but when the goldsmith was done, the king was suspicious that the goldsmith had kept some of the gold and made a crown that was gold on the outside but was made of something cheap on the inside. He asked Archimedes to tell him if it was really solid gold or if he had been cheated. So what Archimedes did was to set a bucket into a large pan, fill the bucket with water up to the very brim, put crown into the bucket, and then measure the amount of water that spilled over into the pan. Then Archimedes did the same thing again only this time he put the same amount of gold as the king had given the goldsmith. This method worked because items that are more dense displace more water (more water is pushed out of the bucket and into the pan). You might also be interested to know that this story is probably made up, and anyway most of what Archimedes wrote about has been changed and improved on by other scientists since then.

What does a Crown of Thorns look like?

The Crown of Horns looks like a large, solid, gold Rock.

How do you prove a liquid is solid?

process of liquid to gas

The volume of an irregular object can be measured by?

The volume of an irregular object can most accurately be determined by its displacement in water. Fill a container to the brim, and stand it in a tub of some description. When you submerge the irregular object, the quantity of water displaced (ie. overflowing into the tub) will be equal to the volume of the object. The accuracy of this method will be determined by your ability to measure the quantity of water and the purity of it (pure H20 being ideal). This was first discovered by Archimedes, who used the displacement of water to ensure the kings crown was solid gold.