Editing Cylinder (section)

{{Short description|Three-dimensional solid}}
{{Other uses}}
{{Infobox polyhedron
| name          = Cylinder
| image         = File:Cylinder.svg
| caption       = A circular right cylinder of height ''h'' and diameter ''d''=2''r''
| euler         = 2
| symmetry      = [[Orthogonal group|{{math|O(2)×O(1)}}]]
| surface_area  = {{math|2πr(r + h)}}
| volume        = {{math|πr<sup>2</sup>h}}
| type          = [[Smooth surface]]<br />[[Algebraic surface]]
}}

A '''cylinder''' ({{etymology|grc|''{{wikt-lang|grc|κύλινδρος}}'' ({{grc-transl|κύλινδρος}})|roller, tumbler}})<ref>[https://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.04.0057%3Aentry%3Dku%2Flindros κύλινδρος] {{webarchive|url=https://web.archive.org/web/20130730214825/http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.04.0057%3Aentry%3Dku%2Flindros |date=2013-07-30 }}, Henry George Liddell, Robert Scott, ''A Greek-English Lexicon'', on Perseus</ref> has traditionally been a [[Solid geometry|three-dimensional solid]], one of the most basic of [[curvilinear]] geometric [[shape]]s. In [[elementary geometry]], it is considered a [[Prism (geometry)|prism]] with a [[circle]] as its base.

A cylinder may also be defined as an [[infinite set|infinite]] curvilinear [[surface (mathematics)|surface]] in various modern branches of geometry and [[topology]]. The shift in the basic meaning—solid versus surface (as in a solid [[ball (mathematics)|ball]] versus [[sphere]] surface)—has created some ambiguity with terminology. The two concepts may be distinguished by referring to '''solid cylinders''' and '''cylindrical surfaces'''. In the literature the unadorned term "cylinder" could refer to either of these or to an even more specialized object, the ''[[right circular cylinder]]''.