Difference between revisions of "Sphere"
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A generalization of it is the set of points which in some vector space is, according to a specified norm, equidistant. | A generalization of it is the set of points which in some vector space is, according to a specified norm, equidistant. | ||
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| + | The surface area of a sphere is equal to four times pi times the square of the radius, and the volume of a sphere is equal to four-thirds times the cube of the radius. Thus: | ||
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| + | *SA=4πm² | ||
| + | *V=1⅓πm³ | ||
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| + | For any positive radius m. | ||
[[Category:Geometry]] | [[Category:Geometry]] | ||
Revision as of 13:01, March 2, 2017
A wireframe sphere.
A sphere is the set of all points in three-dimensional euclidean space (R3) which are at a fixed distance r (called radius) away from a point called the center.
A generalization of it is the set of points which in some vector space is, according to a specified norm, equidistant.
The surface area of a sphere is equal to four times pi times the square of the radius, and the volume of a sphere is equal to four-thirds times the cube of the radius. Thus:
- SA=4πm²
- V=1⅓πm³
For any positive radius m.
