the king gives arhcimedes his new crown and asks him to check if it is pure gold. archimedes finds the weight of the crown in air to be 2 stones and the weight while it is submerged in water is 1.83 stones. is the crown made of pure gold?



Answer :

Archimedes submerged the crown in a bucket of water until it overflowed, then calculated the volume of the water that was spilled.

What about the king's crown did Archimedes learn?

Archimedes discovered that the crown really displaced more water than the gold lump of same mass. As a result, he came to the conclusion that the crown was not made of pure gold and that the goldsmith had, in fact, attempted to deceive the king by adding some silver (or other, lighter metal) to the gold.

Then, in order to confirm that the crown is actually composed of pure gold, he used a bar of pure gold of equal mass and compared the volume of spilled water.

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