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.
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The water overflowed when Archimedes jumped in and he knew that there is a relationship between his weight and the volume of the water
Archimedes is said to have discovered buoyancy while he was taking a bath. He did not, however, discover the city of Bath.
buoyancy and density :D
Density=mass x volume Buoyancy= (density of object - density of fluid) x (volume of displaced fluid)
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.