9873
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Area and Volume of
n
-Dimensional Spheres
This Demonstration lets you calculate or see the general formulas of the surface area and volume of an
-dimensional sphere.
Contributed by:
Jon Kongsvold
SNAPSHOTS
DETAILS
2D 'spheres' are circles and have circumference and area; spheres of dimensions greater than 3 have content for the hypersurface and hypervolume. The skin of a 4D sphere has volume.
RELATED LINKS
Ball
(
Wolfram
MathWorld
)
Circle
(
Wolfram
MathWorld
)
Content
(
Wolfram
MathWorld
)
Hypersphere
(
Wolfram
MathWorld
)
Hypersurface
(
Wolfram
MathWorld
)
Measure Theory
(
Wolfram
MathWorld
)
Sphere
(
Wolfram
MathWorld
)
Surface Area
(
Wolfram
MathWorld
)
PERMANENT CITATION
Jon Kongsvold
"
Area and Volume of
n
-Dimensional Spheres
"
http://demonstrations.wolfram.com/AreaAndVolumeOfNDimensionalSpheres/
Wolfram Demonstrations Project
Published: September 28, 2007
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
Volume and Surface Area of the Intersection of Two Spheres
Idir Expósito Gómez
The Ratio of Surface Area to Volume for a Cube and a Sphere
Mark D. Normand and Micha Peleg
Estimating the Surface Area and Volume of a Rectangular Prism
Sarah Lichtblau
Volume under a Sphere Tangent to a Cone
Abraham Gadalla
Volume and Surface Area of the Menger Sponge
Sam Chung and Kevin Hur
Equal Cores and Shells in Circles and Spheres
S. M. Blinder
Rotating Squares, Cubes, and Higher-Dimensional Hypercubes
Michael Schreiber
Projecting Points on Spheres to Lower Dimensions
George Beck
Horosphere Packings of the (3, 3, 6) Coxeter Honeycomb in Three-Dimensional Hyperbolic Space
Robert Thijs Kozma
A Sphere Visits Flatland
John Kiehl
Related Topics
Area
Higher-Dimensional Geometry
Volume
Browse all topics
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+