Numb3rs Season 2 Episode 18

According to legend, Archimedes discovered the theory of buoyancy while bathing in ancient Syracuse. The tale says that King Hieron II of Syracuse believed the crown that he had made of pure gold was not in fact pure gold. Archimedes pondered this at the public baths, and when he got into the pool (which happened to be filled to the brim) it overflowed. He refilled the tub to the brim, and reentered it, again displacing the water. Shortly thereafter, he figured out how to prove the purity of the gold, and in his excitement ran out into the streets yelling "Eureka! (I have found it!)" in the nude. According to buoyancy, the water displaced by a volume of gold, and by a volume of silver is different, due to their respective densities.