the blacksmith cheated on the king.
Surprisingly it was King Hiero! That is why the king had called Archimedes first about his problem with his crown.
the name of the king is king morse
The story of the Archimedes crown is likely a legend as there is no concrete historical evidence to support its veracity. It is often recounted as a popular anecdote to highlight Archimedes' intelligence and ingenuity.
The hydrostatic balance was an accurate balance that could weigh objects both in water and in the air. Galileo got the idea from the "Eureka" story about Archimedes and the King of Syracuse's crown in which Archimedes had to prove if the king's crown was made of real gold or not. Galileo used some of Archimedes ideas and built his own invention which he called the hydrostatic balance.
Merlin's owl is named Archimedes.
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.
Archimedes realizes that the Great Harbor belonged to the navy
If he wanted to know that weight of his crown, then all he had to do was weigh it. There is no secret to that. Actually, the story is that the king had given the goldsmith some gold to make into a new crown, but when the goldsmith was done, the king was suspicious that the goldsmith had kept some of the gold and made a crown that was gold on the outside but was made of something cheap on the inside. He asked Archimedes to tell him if it was really solid gold or if he had been cheated. So what Archimedes did was to set a bucket into a large pan, fill the bucket with water up to the very brim, put crown into the bucket, and then measure the amount of water that spilled over into the pan. Then Archimedes did the same thing again only this time he put the same amount of gold as the king had given the goldsmith. This method worked because items that are more dense displace more water (more water is pushed out of the bucket and into the pan). You might also be interested to know that this story is probably made up, and anyway most of what Archimedes wrote about has been changed and improved on by other scientists since then.
The "eureka" story is attributed to Archimedes on his discovery of density.
he wanted him to design a pleasure boat for him.
A single small lever
The king wanted Archimedes to find out if a golden crown was made of pure gold or if it contained any other metal.