# Why couldn't Archimedes work out the volume of the crown by measuring it with a ruler?

different objects have a different density so since gold is more dense than silver the crown made of pure gold would be heavier than the silver crown.

### 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…

### What is the story behind Archimedes principle?

The Story Behind the Science Hieron, 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…

### How did Archimedes found the purity of crown?

Archimedes when went into his bath tub to bathe at that time he observed water flowing out of bath tub. He observed that the water displaced should be equal to the mass of his body or volume of his body.similarly somehow knew the density of gold and found out the volume of gold needed to make crown of that much weight hence he got the mass of gold crown. Now he got mass of 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…

### Who came up with water displacement?

Archimedes came up with water displacement. The story is this, Xerxes, king of Persia, who had a lot of gold, wanted a solid gold crown made for him, so he sent his gold to someone who could make it into a crown. When he got the crown, Xerxes really liked it, but he was still suspicious that the crown wasn't solid gold, and that the man had stolen the rest of his gold. To see…

### How do you measure the density of an irregular object that doesnt float?

Ah, the Eureka question. The original questioner in recorded history was of a Greek king whose crown was supposedly made of pure gold. At least the king had given the jeweler a given weight of pure gold and the new crown weighed exactly that amount when it came back. But, the king became suspicious and wanted to be sure his crown was pure gold and the jeweler had not substituted a baser metal for part…

### How Archimedes find or discover Archimedes principal?

According to Vitruvius, 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…

### 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.

### When do you stumble across the answer to a problem?

Solutions to problems can 'hit' you at any time. Take Archimedes for example. He was asked to determine whether a crown that had been made for King Hiero II, was as pure as the gold that had been supplied to make it, or if some silver had been substitued. The only problem Archimedes had - was that he was not allowed to damaging the crown. While taking a bath, he niticed the water level changed…

### 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 was Archimedes accidental discovery?

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…

### How did Archimedes discover volume and when?

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 Vitruvius, a votive crown for a temple had been made for King Hiero II, who had supplied the pure gold to be used, and Archimedes was asked to determine whether some silver had been substituted by the dishonest goldsmith. Archimedes had to solve the problem without damaging the…

### How did Archimedes find out if the crown was made of gold or cheaper materials?

He took the weight of the crown and then used water displacement to determine the volume. He could then deduce the density of the crown. Various types of metals have different densities. Density is the mass to volume ratio. Or in better terms, how tightly the molecules are packed together in a substance. If the density of the crown was different than that of any other piece of gold, it was not gold. The bath…

### Where was the scientist who leapt from his bath and ran naked through the street when he worked out why things float?

Archimedes (287-212 BC) is from Ancient Greece. He lived in Syracuse, a city-state and province on the island of Sicily (he died during its conquest by Rome). He discovered that water is displaced by the volume of what is added to it. The scientist was Archimedes, who was asked to determine the amount of gold in a crown that had been made for his King. According to the legend, he was sitting in his bath…

### What was Archimedes' contribution in Physics?

There were many. He is famous for the saying, "If I had a lever big enough I could move the world." Actually, a more accurate translation would be: If I had a firm enough place to stand, I could move the world. He is also most known for hi invention of the Archimedes screw for pumping water. Archimedes' principle Main article: Archimedes' principle Archimedes may have used his principle of buoyancy to determine whether the…

### Who invented 'Eureka'?

A stimulus was, in fact, responsible for the creation of the word Eureka! In the original Greek, "Eureka!" means "I have found it!" According to Greek legend, a mathematician and physicist named Archimedes coined the term after being stimulated in a hot tub. He was settling in for a long soak one day around 250 B.C. At the time, he was preoccupied with finding a way to determine the proportion of real gold to ordinary…

### How do you find the volume of an irregular shaped objected?

by using the water displacement method of Archimedes. For example,a stone's volume(an irregularly-shaped figure) can be measured by dropping it in a graduated cylinder with water(for example 20g water)...then the water will be displaced after you immersed the stone into it(it became 35g).the total displaced water(15g) will be the stone's volume.. this is the same with what happened to Archimedes when he was asked by a king to determine whether his crown was made of…

### What did Archimedes discover concerning water and volume?

Archimedes discovered the law of hydrostatic displacement. Supposedly, in trying to determine how to find the density of the ruler's crown, he was perplexed by the problem. He decided one night to take a bath and, while sitting down in the bath water, he noticed that the water level went up. From this, he realized that the amount of water displaced was equal to the volume of his body immersed in the water. From mass…

### Why did Archimedes shout out ereka?

Archimedes, according to legend, shouted "Eureka!" after leaping out of his bathtub and running naked down the streets of Syracuse (a Greek colony in ancient Sicily). Eureka means "I found it!" in Greek, and he was yelling it because he was ecstatic at finding the solution to a problem that had been put to him by the king of Syracuse. It seems the king was suspicious that a jeweler was cheating him about the true…

### What is a hydrostatic balance that Galileo invented?

The hydrostatic balance was an accurate balance that could weigh objects both in water and in the air. Galileo got the idea from the "Eureka" story about Archimedes and the King of Syracuse's crown in which Archimedes had to prove if the king's crown was made of real gold or not. Galileo used some of Archimedes ideas and built his own invention which he called the hydrostatic balance.

### How did Archimedes use displacement to help the king of syraise?

Archimedes elucidated the concept of density. Both crowns weighed the same. Other methods at the time to determine the purity of the gold were destructive (ie melting point comparison). When he bathed he saw that his body displaced the water and it occurred to him that the volume of displaced water was equal to the volume of himself submerged. He weighed both crowns as well as a piece of gold of similar weight. He then…

### Facts about Archimedes early life?

He was a scientist in the greek army. He was unpopular in greece. Once he was called for testing a fault in a crown sample. While he was having a bath in his bath tub,he submerged the crown in water and got the solution. He shouted Eureka-Eureka on the streets naked. After that he gave Archimedes Principle.

### What was the story about Archimedes and the kings crown?

The king of Sparta decided that he needed a new gold crown, which he could make from some of the booty he had gotten from his victories. The king gave his most reputable goldsmith a small brick of gold that measured 3 x 6 x 8 cm and weighed 2,765 gms, and ordered him to turn it into a new crown. Several weeks later, the goldsmith delivered the crown to the king, who weighed it…

### Who was the Scientist that by sitting in his bath tub he foubd the measurement of water?

Hi, I was wondering this too as I'm reading Small Gods by Terry Pratchet and this is the second time he's referenced Archimedes. Refer site: http://en.wikipedia.org/wiki/Archimedes The Golden Crown Archimedes then took to the streets naked, so excited by his discovery that he had forgotten to dress, crying "Eureka!" Interestingly, the reference may be a fabrication. The story of the golden crown does not appear in the known works of Archimedes. Moreover, the practicality of…

### How was buoyancy invented?

Buoyancy wasn't invented by anyone, but it was first discovered by Archimedes. He never considered about buoyancy until one day, he had to help the King solve a problem, which got him stirred about buoyancy. Bouyancy has always been around. Archimedes simply understood it when he saw the bath water rise as he got in the bath. As the story goes, the king wanted to know if the goldsmith alloyed some silver in with his…

### How do you find the purity of gold by using archimdes principle?

Gold is very dense, so a pound of it won't displace much water. If a crown, supposedly of pure gold and weighing one pound, displaces MORE water than a pound of bar gold does, then the crown is LESS dense than gold and is therefore amalgamated with some less dense material. Archimedes' problem was really how to measure the VOLUME of such an irregular shape as a crown.

### Where did the word eureka originate?

It is actually a Greek word meaning, "I have found it" It has become famous from its use by the Greek mathematician Archimedes. The Greek leader at the time asked him to assess whether his crown had been made from all the gold that he had given to the goldsmith to do the job. Archimedes wasn't sure how to go about solving this, since he couldn't measure the crown's density as the volume was unknown…