The water overflowed when Archimedes jumped in and he knew that there is a relationship between his weight and the volume of the water
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Archimedes is said to have discovered buoyancy while he was taking a bath. He did not, however, discover the city of Bath.
Archimedes discovered density in 265 BC, when he was only 22. He discovered density when he was taking a bath. He discovered that the deeper he went he weighed less and the more the water ran out.
Legend says that Archimedes discovered the principle of displacement while stepping into a full bath. He realized that the water that ran over equaled in volume the submerged part of his body. Through further experiments, he deduced the above mentioned Archimedes' principle.
Archimedes discovered density by sitting in a bath full of water, and realized the water that spilled out was how much space he took up in the bath. How many liters that spilled out was how many liters Archimedes took up in the world. As legend has it, when he found this out he ran into the street - naked - shouting "Eureka!" which means, in Greek, "I've found it!" He was shouting "Eureka" because the king asked him to find out if his crown was all gold or did the goldsmith take some gold and used silver instead.
What is Archimedes origin?