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

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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 "Îµá½•ÏÎ·ÎºÎ±!" (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.

-The Archimedes Screw - How to find the measurement of a circle/how to find the volume of a solid -Mathematically explained how the lever works -Invented the western version of the odometer -Established the foundations of hydrostatics -Established laws pertaining to mechanics, buoyancy and specific gravity - and many more!!!

Archimedes' principle is used. Water will be displaced by the volume of what is put into it. That displaced volume can be measured giving the weight.

Yes, the molecules are able to vibrate, thus relaying the sound vibrations through a solid mass. When we hear sounds through a wall we prove this concept. The sound vibrates the air outside the room then the wall and then the air inside the room and finally our eardrum which is also a solid.

Light is a lot like water or any other liquid. It will travel where ever it is directed until it hits a solid opaque object.

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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.

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 "Îµá½•ÏÎ·ÎºÎ±!" (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

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.

The most widely known anecdote about Archimedes tells of how he invented a method for determining the volume of an object with an irregular shape. According to Vitruvious, a new crown in the shape of a laurel wreath had been made for King Hiero II, and Archimedes was asked to determine whether it was of solid gold, or whether silver had been added by a dishonest goldsmith. Archimedes had to solve the problem without damaging the crown, so he could not melt it down into a regularly shaped body in order to calculate its density. While taking a bath, he noticed that the level of the water in the tub rose as he got in, and realized that this effect could be used to determine the volume of the crown. For practical purposes water is incompressible, so the submerged crown would displace an amount of water equal to its own volume. By dividing the weight of the crown by the volume of water displaced, the density of the crown could be obtained. This density would be lower than that of gold if cheaper and less dense metals had been added. Archimedes then took to the streets naked, so excited by his discovery that he had forgotten to dress, crying "Eureka!" (Greek: "εὕρηκα!," meaning "I have found it!")The story of the golden crown does not appear in the known works of Archimedes. Moreover, the practicality of the method it describes has been called into question, due to the extreme accuracy with which one would have to measure the water displacement. Archimedes may have instead sought a solution that applied the principle known in hydrostatics as Archimedes' Principle, which he describes in his treatiseOn Floating Bodies. This principle states that a body immersed in a fluid experiences a buoyant force equal to the weight of the fluid it displaces. Using this principle, it would have been possible to compare the density of the golden crown to that of solid gold by balancing the crown on a scale with a gold reference sample, then immersing the apparatus in water. If the crown was less dense than gold, it would displace more water due to its larger volume, and thus experience a greater buoyant force than the reference sample. This difference in buoyancy would cause the scale to tip accordingly. Galileo considered it "probable that this method is the same that Archimedes followed, since, besides being very accurate, it is based on demonstrations found by Archimedes himself.

This is the Archimedes principle.

Archimedes law for the use of a full cup size.

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

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.

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

process of liquid to gas

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.