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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.
Contributed by:
Sándor Kabai
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Archimedes' Hat-Box Theorem
(
Wolfram
MathWorld
)
PERMANENT CITATION
Sándor Kabai
"
Archimedes' Hat Box Theorem
"
http://demonstrations.wolfram.com/ArchimedesHatBoxTheorem/
Wolfram Demonstrations Project
Published: October 15, 2008
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Related Curriculum Standards
US Common Core State Standards, Mathematics
7.G.B.6