Difference between revisions of "Sphere"
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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: | 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= | + | *SA=4π''r''² |
| − | *V= | + | *V=1⅓π''r''³ |
| − | For any positive radius | + | For any positive radius ''r''. |
[[Category:Geometry]] | [[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.
