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Cylinder

A cylinder (from Ancient Greek κύλινδρος (kúlindros) 'roller, tumbler') 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.

Properties, Types & Cylindrical surfaces

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Key facts & relationships

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Euler char.
2
Surface area
2πr(r + h)
Symmetry group
O(2)×O(1)
Type
Smooth surface Algebraic surface
Volume
πr2h

Topics to explore

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Overview

Types

Properties

Cylindrical surfaces

Projective geometry

Prisms

Advanced semantic analysis

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Map overview Semantic statistics

Cylinder

Nodes68
Edges67
Triples71
Avg. degree1.97
Density0.029412
Components1

How this topic connects Entity context

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Cylinder

Top relations

is a · 10
Cylinder → circle then the cylinder is a circular cylinder, conic section, cylindrical surface without the bases, generalization of the equation of the ordinary, parallelogram, rectangle.A cylindric section in which the intersecting plane intersects and is perpendicular to all the elements of the cylinder is called a right section, right circular cylinder, right circular cylinder.Right circular hollow cylinder, right cylinder, right cylinder.This formula may be established by using Cavalieri's principle.In more generality
related to Elliptic cylinder · 7
Cylinder → Cartesian, Elliptic, Further, If, If AB, Plücker, This
related to Types · 7
Cylinder → All, An, Any, From, If, In, The
related to External links · 6
Cylinder → Eric, MATHguide, MATHguideVolume, MathWorld, Surface, Weisstein
related to Cylindric sections · 5
Cylinder → If, In, Such, The, They
related to Cylindrical surfaces · 5
Cylinder → In, Such, These, Through, Thus
related to On the Sphere and Cylinder · 5
Cylinder → Archimedes, BCE, In, Since, The
related to Prisms · 4
Cylinder → Because, Cylinders, Standard, The
related to Projective geometry · 4
Cylinder → If, In, These, This
related to Right circular hollow cylinder (cylindrical shell) · 4
Cylinder → Let, R-r, The, Thus

Important terminology Word statistics

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Important terminology

surface right circular volume area cylindrical plane solid displaystyle cylinders parallel called two height section base sphere elliptic line may

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
CylinderEuler char.21.00infobox
CylinderSurface area2πr(r + h)1.00infobox
CylinderSymmetry groupO(2)×O(1)1.00infobox
CylinderTypeSmooth surface Algebraic surface1.00infobox
CylinderVolumeπr2h1.00infobox
Cylinderis aright cylinder0.90text
Cylinderis acylindrical surface without the bases0.90text
Cylinderis aparallelogram0.90text
Cylinderis arectangle.A cylindric section in which the intersecting plane intersects and is perpendicular to all the elements of the cylinder is called a right section0.90text
Cylinderis acircle then the cylinder is a circular cylinder0.90text
Cylinderis aconic section0.90text
Cylinderis aright cylinder.This formula may be established by using Cavalieri's principle.In more generality0.90text
Cylinderis aright circular cylinder.Right circular hollow cylinder0.90text
Cylinderis aright circular cylinder0.90text
Cylinderis ageneralization of the equation of the ordinary0.90text

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    Min side: 3
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