# Surface of revolution

## Surface created by rotating a curve about an axis / From Wikipedia, the free encyclopedia

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A **surface of revolution** is a surface in Euclidean space created by rotating a curve (the *generatrix*) one full revolution around an *axis of rotation* (normally not intersecting the generatrix, except at its endpoints).^{[1]}
The volume bounded by the surface created by this revolution is the *solid of revolution*.

Examples of surfaces of revolution generated by a straight line are cylindrical and conical surfaces depending on whether or not the line is parallel to the axis. A circle that is rotated around any diameter generates a sphere of which it is then a great circle, and if the circle is rotated around an axis that does not intersect the interior of a circle, then it generates a torus which does not intersect itself (a ring torus).