Why did Archimedes said eureka when he discovered his principle?

Answer 1

Eureka!According to legend, Greek mathematician and engineer Archimedes shouted "Eureka" (Greek: "I have found it") when he discovered a way to calculate the volume of an irregular solid by submerging it in water and measuring the volume of water it displaced. This led to further discoveries involving density and buoyancy.

In physics, buoyancy is the upward force on an object produced by the surrounding fluid (i.e., a liquid or a gas) in which the object is fully or partially immersed, due to the pressure difference of the fluid between the top and bottom of the object. The net upward buoyancy force is equal to the magnitude of the weight of fluid displaced by the body. This force enables the object to float or at least to seem lighter. Buoyancy is important for many vehicles such as boats, ships, balloons, and airships.

Archimedes was given the task by the king to find out if his gold crown was made of only gold or some other cheap metals were mixed to it. Archimedes was continuosly thinking of the way to find it and while he was taking bath in a bath tub, he found that some water was spilled when he entered it.(he could then give the Archimedes principle after cetain experiments on buoancy). well he cried out eureka at that particular moment which in greek means "i have found it".

Answer 2

Because that's what they used to say when discovering something.

Answer 3

In his toilet/bathroom.