9814
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
THINGS TO TRY
Rotate and Zoom in 3D
Gamepad Controls
Automatic Animation
SNAPSHOTS
RELATED LINKS
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
A Polygon That Folds into a Regular Tetrahedron or into a Rectangular Box
Izidor Hafner
Two Proofs of the Equality of the Volumes of a Box and a Parallelepiped
Izidor Hafner
Universal Rhombic Dodecahedron
Sándor Kabai
Zonohedron Turned Inside Out
Sándor Kabai
Telescopic Tower
Sándor Kabai
Zonohedral Torus
Sándor Kabai
Two Stellations of the Rhombic Triacontahedron
Sándor Kabai
Seven Cylinders
Sándor Kabai
Slicing an Indented Sphere
Sándor Kabai
Rings of Five and Ten Polyhedra
Sándor Kabai
Related Topics
3D Graphics
College Mathematics
Recreational Mathematics
Solid Geometry
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
7.G.B.6
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+