Most likely by firing explosive pots out of catapults. The mirrors thing is a myth
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The Archimedes Sphere, also known as the Sphere of Archimedes, played a significant role in Greek mythology as it was believed to have been a powerful weapon created by the legendary mathematician and inventor Archimedes. According to the myth, the sphere had the ability to harness the power of the sun and use it as a destructive force against enemy ships.
It's thought that Archimedes, the ancient Greek scientist, used lodestone to pull nails from enemy ships in war to make them collapse and sink.
Mainly u-boats, other enemy ships and enemy bombers
When it was first invented, it was intended to draw water out of Greek ships. However, it was later used for irrigation.
Archimedes made many things. He made (invented) the Archimedes screw which helps farmers with their irrigation. He also supposedly made Archimedes Death Ray (which is a myth) and Archimedes Claw which is said unrealistic by modern engineers.