Difference between revisions of "Volume"
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(The Gabriel's horn article needs a better definition.) |
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| − | + | The '''volume''' of a [[geometric]] figure is a quantity indicating how much 3-dimensional space an object occupies. | |
| − | The | ||
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| − | + | Formulas for volume include: | |
| − | + | *For a [[cube]]: V = r<sup>3</sup> | |
| − | + | *For a [[sphere]]: V = <sup>4</sup>/<sub>3</sub>πr<sup>3</sup> | |
| − | + | *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 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. | |
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| − | + | [[Category:Geometry]] | |
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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.