What did Archimedes consider to be his greatest discovery?

Why didn't Archimedes want to help King Hiero build war machines?

Name three sciences that Archimedes invented and explain how he invented them.

What event produced the problem that caused Archimedes to exclaim "Eureka!"?

How did Archimedes show there are infinite numbers?

How did Archimedes show the area of a circle?

Discuss the influence of Archimedes's work on modern science and mathematics.