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I would like you to make me a new crown out of pure gold. Use every last piece in my crown.
I can just take out some of the gold, to keep for myself, and replace it with the same amount of silver. The King will never know!
Archimedes, I don't believe that this crown is pure gold. I am appointing you to figure out the truth.
E u r e k a !
Since the crown displaced less water than the gold, then this means that the crown is less dense than pure gold.
I am sorry to say, your majesty, but the blacksmith has cheated you. He replaced some gold with silver.
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