Archimedes wrote nine treatises that survive. In On the Sphere and Cylinder, he showed that the surface area of a sphere with radius r is 4πr2 and that the volume of a sphere inscribed within a cylinder is two-thirds that of the cylinder. (Archimedes was so proud of the latter result that a diagram of it was engraved on his tomb.) In Measurement of the Circle, he showed that pi lies between 3 10/71 and 3 1/7. In On Floating Bodies, he wrote the first description of how objects behave when floating in water.
What specific works did Archimedes create?
What accomplishments was Archimedes known for?
Archimedes found that the volume of a sphere is two-thirds the volume of a cylinder that encloses it. He also discovered a law of buoyancy, Archimedes’ principle, that says a body in a fluid is acted on by an upward force equal to the weight of the fluid that the body displaces. According to tradition, he invented the Archimedes screw, which uses a screw enclosed in a pipe to raise water from one level to another.
