The Gabriel's horn article needs a better definition.
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*For a [[cylinder]]: V = πr<sup>2</sup>h
*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
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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.