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Archimedes' Hat Box Theorem
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.




"Archimedes' Hat Box Theorem" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/ArchimedesHatBoxTheorem/
Contributed by: Sándor Kabai
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