A king ordered his Goldsmith to make a crown which should be of pure gold. SO the goldsmith to made a crown of pure gold & brought it to king. but the king was not contended with the crown as he suspected whether it is made of pure gold or not. So he called for Archimedes and asked him to check whether it is a pure gold crowm. Archimedes was serious about this and went his home thinking how to solve this issue. He wanted to take bath, all of a sudden the jumped on to the bath tyb. Water inside the tub had splashed out of it. An idea striked him suddenly he went running naked straight from his bathroom to the king's pace shouting Eureka Eureka on the road side. From this what do we infer ?
How Archimeded would have solved this problem ?

Explanation

Archimedes discovered that the weight of his body is equal to the weight of the displaced (splashed) liquid out of the tub. So Archemedes principle was the out come of this incidence, heer 'Eurcka' means I have found out.
(i) Archimedes was told by the goldsmith about the quantity of gold used in the crown. So he took that much amount Gold and immersed in water and measured its original weight. Then, when he immersed the crown, the weight of the actual gold was not shown by the duplicate gold crown, from this he guessed, the goldsmith had made the crown with some other metals too along with Gold. (i.e. Impure gold). Goldsmith was caught red handed by the king.