![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/a/a2/Surface_of_revolution_illustration.png/640px-Surface_of_revolution_illustration.png&w=640&q=50)
Surface of revolution
Surface created by rotating a curve about an axis / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about surface of revolution?
Summarize this article for a 10 year old
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.
![Thumb image](http://upload.wikimedia.org/wikipedia/commons/thumb/a/a2/Surface_of_revolution_illustration.png/640px-Surface_of_revolution_illustration.png)
![Thumb image](http://upload.wikimedia.org/wikipedia/commons/thumb/b/bd/Square-torus.png/640px-Square-torus.png)
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).