Difference between revisions of "Volume"
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GregLarson (talk | contribs) (und, add formulae) |
(The Gabriel's horn article needs a better definition.) |
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*For a [[cube]]: V = r<sup>3</sup> | *For a [[cube]]: V = r<sup>3</sup> | ||
*For a [[sphere]]: V = <sup>4</sup>/<sub>3</sub>πr<sup>3</sup> | *For a [[sphere]]: V = <sup>4</sup>/<sub>3</sub>πr<sup>3</sup> | ||
| − | *For a [[ | + | *For a [[cylinder]]: V = πr<sup>2</sup>h |
*For a [[cone]]: V = <sup>1</sup>/<sub>3</sub>πr<sup>2</sup>h | *For a [[cone]]: V = <sup>1</sup>/<sub>3</sub>πr<sup>2</sup>h | ||
| + | |||
| + | For more abstract objects, the volume is obtained by triple [[integral|integration]]. The formulas above can be calculated this way, and that is a common exercise in integral calculus. | ||
[[Category:Geometry]] | [[Category:Geometry]] | ||
Latest revision as of 19:45, August 24, 2013
The volume of a geometric figure is a quantity indicating how much 3-dimensional space an object occupies.
Formulas for volume include:
For more abstract objects, the volume is obtained by triple integration. The formulas above can be calculated this way, and that is a common exercise in integral calculus.