Archimedes' Hat Box Theorem

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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.

External Links

Archimedes' Hat-Box Theorem (Wolfram MathWorld)

Permanent Citation

Sándor Kabai
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​"Archimedes' Hat Box Theorem"​
​http://demonstrations.wolfram.com/ArchimedesHatBoxTheorem/​
​Wolfram Demonstrations Project​
​Published: October 15, 2008