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During Archimedes' time in Syracuse, King Hieron, the king of Syracuse and a close friend of Archimedes, commissioned the construction of a beautiful golden crown. When the goldsmith returned the crown, the king suspected him of stealing some of the gold and replacing it in the crown with silver. The king wanted to make sure that he got all of his gold back, so he asked Archimedes to discover the true contents of the crown.

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Q: What problem did king hiero want Archimedes to solve?
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Who consulted Archimedes regarding an object that was made of Gold?

Hiero II, the King of Syracuse, wanted Archimedes to determine if gold had been withheld from a crown by the goldsmith commissioned to make it. Without damaging the crown, Archimedes used water displacement to prove that the gold was not all there.


How did Archimedes solve the King's problem?

He discovered the difference in density between gold and silver when placed under water, and noticed that the crown was not pure gold. The crowns maker was later beheaded.


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