Answer:
In "Archimedes and the Siege of Syracuse," King Hiero II of Syracuse has a problem with his new ship, the Syracusia, which is the largest ship ever built at that time. The ship is too heavy and too large to be moved out of the harbor, and King Hiero is worried that it will be vulnerable to attack by enemy ships if it stays there.
To solve this problem, King Hiero turns to his friend and advisor Archimedes, a brilliant mathematician and inventor. Archimedes is known for his ability to solve difficult problems and devise ingenious solutions, and King Hiero is hoping that he can help with the problem of the Syracusia.
Archimedes immediately sees the problem with the Syracusia, and he realizes that it cannot be moved by conventional means, such as by using ropes or pulleys. Instead, he comes up with an innovative solution involving water displacement, which allows the ship to be lifted and moved out of the harbor using a system of levers and counterweights.
Archimedes' solution works, and the Syracusia is successfully moved out of the harbor. King Hiero is impressed with Archimedes' ingenuity and asks him to continue working for the city of Syracuse, where he goes on to devise many more brilliant inventions and solutions to difficult problems