cylinder

A cylinder () has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.

AI overview

A cylinder is a basic three-dimensional shape with a circular base, traditionally classified as a type of prism in geometry. It's one of the most fundamental curved shapes studied in elementary mathematics and appears frequently in both natural and manufactured objects around us.

AI-generated from the Wikipedia summary — may contain errors.

Key facts

Polyhedron.name: Cylinder
Polyhedron.image: File:Cylinder.svg
Polyhedron.caption: A right circular cylinder of height h and diameter d=2r
Polyhedron.euler: 2
Polyhedron.symmetry: Orthogonal group|
Polyhedron.type: Smooth surfaceAlgebraic surface

via Wikipedia infobox

Wikidata facts

Image: Circular cylinder rh.svg

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Commons category: Cylinders
Commons gallery: Cylinder (geometry)
Euler characteristic: 2

Sources (3)

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~15 min read

Article

18 sections

Contents

Types
Right circular cylinders
Properties
Cylindric sections
Volume
Surface area
Right circular hollow cylinder (cylindrical shell)
''On the Sphere and Cylinder''
Cylindrical surfaces
Elliptic cylinder
Hyperbolic cylinder
Parabolic cylinder
Projective geometry
Prisms
See also
Notes
References
External links

A cylinder () has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.

A cylinder may also be defined as an infinite curvilinear surface in various modern branches of geometry and topology. The shift in the basic meaning—solid versus surface (as in a solid 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.