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Solid of revolution

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Integration by substitution | Integration by parts | Integration by trigonometric substitution | Solids of revolution | Integration by disks | Integration by cylindrical shells | Lists of integrals
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In mathematics, engineering, and manufacturing; a solid of revolution is a solid figure obtained by rotating a plane figure around some straight line (the axis) that lies on the same plane.

Assuming that the figure lies entirely on one side of the axis, the solid's volume is equal to the length of the circle described by the figure's barycenter, times the figure's area.

See also: surface of revolution

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