Pronunciation: /sfɪər/ Explain
|Figure 1: Sphere||
A sphere is all points a given distance from a
central point in 3-dimensional
space. The distance of the surface of the
sphere from the center is called the radius.
|Equation of a sphere with the center at (0,0,0)
||x2 + y2 +
z2 = r2|
|Equation of a sphere with the center at
||(x - x0)2 +
(y - y0)2 + (z -
z0)2 = r2|
|Volume of a sphere\
||v = 4/3 π r3|
|Surface Area of a sphere
||s = 4 π r2|
|Table 1: Equations and formulas for spheres|
of a sphere in n-dimensional spaces
where n is 4 or more is called a hypersphere.
The equation for a four-dimensional hypersphere is
(w - w0)2 +
(x - x0)2 + (y -
y0)2 + (z - z0)2
= r2. A 2 dimensional sphere is called a
|Figure 2: Sphere showing a great circle and a small circle.||
A great circle is a
on a sphere with the same diameter as the sphere. Circles on a sphere that
are not great circles are called small circles. For more
information see Great Circle.
|Figure 3: Hemisphere||
A hemisphere is exactly half of a sphere. A hemisphere can
be created using any plane that
a diameter of the circle.
- McAdams, David E.. All Math Words Dictionary, sphere. 2nd Classroom edition 20150108-4799968. pg 168. Life is a Story Problem LLC. January 8, 2015. Buy the book
- Stöcker, K.H.. The Elements of Constructive Geometry, Inductively Presented. pg 50. Translated by Noetling, William A.M, C.E.. www.archive.org. Silver, Burdett & Company. 1897. Last Accessed 12/13/2018. http://www.archive.org/stream/elementsofconstr00noetrich#page/50/mode/1up. Buy the book
- McAdams, David E.. Circle. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 3/12/2009. http://www.allmathwords.org/en/c/circle.html.
Cite this article as:
McAdams, David E. Sphere. 5/7/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/s/sphere.html.
5/7/2019: Changed equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
12/10/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
8/7/2018: Changed vocabulary links to WORDLINK format. (McAdams, David E.)
12/31/2009: Added "References". (McAdams, David E.)
12/5/2008: Changed 'equidistant' to 'a given distance'. (McAdams, David E.)
6/7/2008: Corrected spelling. (McAdams, David E.)
4/1/2008: Initial version. (McAdams, David E.)