Archimedes's Tomb

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
Archimedes asked for a representation of a cylinder circumscribing a sphere on his tomb. Also his result on the ratio of the volumes of the two should be noted. He was proud of his discovery regarding the volume of a sphere, showing that it is two-thirds the volume of the smallest cylinder that can contain it. The volume of a cylinder of radius
and height
is
; the volume of a sphere
of radius
is
. Furthermore, the volume of a bicone is half that of the smallest sphere that can contain it. Therefore these three volumes behave as 1 : 2 : 3.
Contributed by: Ralf Schaper (July 2011)
Suggested by: Wolfram Koepf
Open content licensed under CC BY-NC-SA
Snapshots
Details
For more information see:
Biography of Archimedes (The MacTutor History of Mathematics Archive)
Tomb of Archimedes (Courant Institute of Mathematical Sciences)
Permanent Citation
"Archimedes's Tomb"
http://demonstrations.wolfram.com/ArchimedessTomb/
Wolfram Demonstrations Project
Published: July 1 2011