What Are Archimedes's Density?

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Archimedes discovered Density when he was set on a mission to figure out if a craftsman had given the king a pure gold crown or had defrauded him with silver instead. Archimedes pondered this when he was in a pool. When he slipped himself into the pool he realized that some water had spilled over. Archimedes then had an epiphany and realized that the amount of water that spilled over was equal in volume to the space that his body took up. Archimedes then applied this epiphany to differentiating whether the king's crown was silver or gold. Archimedes put the Craftsman's crown and a pure gold crown of the same mass in two tubs of water. He observed that more water spilled over the sides of the tub when the craftsman's crown was submerged.

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