Archimedes' Hat Box Theorem

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
A unit sphere is placed in a unit cylinder. You can cut off parts of the two surfaces with planes perpendicular to the axis of the cylinder. The lateral surface area of the partial cylinder equals that of the spherical segment.
Contributed by: Sándor Kabai (October 2008)
Open content licensed under CC BY-NC-SA
Snapshots
Details
detailSectionParagraphPermanent Citation
"Archimedes' Hat Box Theorem"
http://demonstrations.wolfram.com/ArchimedesHatBoxTheorem/
Wolfram Demonstrations Project
Published: October 15 2008