Difference between revisions of "Sphere"
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A '''sphere''' is the set of all points in three-dimensional [[euclidean space]] ('''R'''<sup>3</sup>) which are at a fixed distance ''r'' (called radius) away from a point called the center. | A '''sphere''' is the set of all points in three-dimensional [[euclidean space]] ('''R'''<sup>3</sup>) 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=4π''r''² | ||
| + | *V=1⅓π''r''³ | ||
| + | |||
| + | For any positive radius ''r''. | ||
| + | |||
| + | [[Category:Geometry]] | ||
Latest revision as of 13:17, 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=4πr²
- V=1⅓πr³
For any positive radius r.
