10809
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
Rectangles Reasonably Close to a Given Area
Ed Pegg Jr
Equal Cores and Shells in Circles and Spheres
S. M. Blinder
Rotating Squares, Cubes, and Higher-Dimensional Hypercubes
Michael Schreiber
Geometric Properties of an n-Cube
Andrew Mueller
Projecting Points on Spheres to Lower Dimensions
George Beck
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+