A Fresh Look at the Method of Archimedes
By Tom Apostol and Mamikon Mnatsakanian
The American Mathematical Monthly, vol. 111, no. 6, (2004)
Summary: Among Archimedes’ great discoveries is the fact that the volume of a solid sphere is two-thirds the volume of the smallest cylinder that surrounds it, and that the surface area of the sphere is also two-thirds the total surface area of the same cylinder. This paper generalizes Archimedes’ method to derive other interesting results about area and volume.
Click here to read the article from the Mathematical Association of America