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 crown and this mass needed to be equal to the water displaced when crown put in water.
If the crown was pure then the masses would be equal AND IF NOT then the mass of crown found by Archimedes would be drastically more or drastically less because the person who made the crown would have used another metal.
That was Archimedes when he realised how he could determine the purity of gold in a royal crown without damaging it. Eureka means "I have found it".
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.
Yes Archimedes crown was pure gold. how they know this is that they weighed the dentisity of the crown.
Aristotle did not say "Eureka." The exclamation "Eureka" is attributed to Greek mathematician and inventor Archimedes, who reportedly shouted it when he discovered a method to determine the purity of a gold crown. The word "Eureka" means "I have found it" in Greek.
He was quoting the exclamation attributed to Archimedes, who is said to have cried out "Eureka! eureka!" (I have found it! I have found it!), Eureka is Greek for "I have found it". Archimedes said it when he discovered how to use water displacement to test the purity of gold.
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.
Surprisingly it was King Hiero! That is why the king had called Archimedes first about his problem with his crown.
hi
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.
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.
Archimedes, the Greek mathematician, scientist, and inventor, is famous for shouting "Eureka!" ("I have found it!") when he discovered a method to determine the purity of gold. This exclamation is often associated with his legendary moment of insight while taking a bath.
The story goes Archamedes , when he discovered the weight of the crown, ran on the streets of Athens naked shouting EUREKA EUREKA. meaning I have found it.