Solid of revolution

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.

Related Topics:
Mathematics - Engineering - Manufacturing - Solid figure - Plane figure - Straight line - Axis

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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.

Related Topics:
Volume - Length - Circle - Barycenter - Area

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A representative disk is three-dimensional volume element of a solid of revolution. The element is created by rotating a line segment (of length "w") around some axis (located "r" units away); such that, a cylindrical volume, of π∫r2w units, is enclosed.

Related Topics:
Dimension - Volume element - Rotating - Line segment - Length - Cylindrical - Volume

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