Difference between revisions of "Cylinder"
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| − | A '''cylinder''' is a solid generated by rotating a [[rectangle]] about one of its [[edges]]. A '''cylinder''' may also refer to the surface of such a solid. A '''cylinder''' may also be thought of as the solid bounded by two [[parallel]] [[planes]] and the set of all points [[equidistant]] from a line [[perpendicular]] to both planes. Thus, a '''cylinder''' has two circular flat surfaces--think of a can of soup. Typically, to solve for surface | + | A '''cylinder''' is a solid generated by rotating a [[rectangle]] about one of its [[edges]]. A '''cylinder''' may also refer to the surface of such a solid. A '''cylinder''' may also be thought of as the solid bounded by two [[parallel]] [[planes]] and the set of all points [[equidistant]] from a line [[perpendicular]] to both planes. Thus, a '''cylinder''' has two circular flat surfaces--think of a can of soup. Typically, to solve for surface area or volume of a cylinder, the [[radius]] of the circular faces and the [[height]] of the cylinder are involved. |
==Formulas== | ==Formulas== | ||
| − | * | + | In these formulas, <math>r</math> is used to denote the radius and <math>h</math> is used to denote the height. |
| − | * [[Volume]]: <math>\pi r^ | + | *[[Surface area]]: <math>2\pir^2+2\pirh</math> |
| − | * The volume of a cylinder is thrice the volume of a cone with the same base radius and height | + | *[[Volume]]: <math>\pi r^2h</math> |
| + | *The volume of a cylinder is thrice the volume of a cone with the same base radius and height | ||
==See also== | ==See also== | ||
Revision as of 16:35, 28 December 2024
This article is a stub. Help us out by expanding it.
A cylinder is a solid generated by rotating a rectangle about one of its edges. A cylinder may also refer to the surface of such a solid. A cylinder may also be thought of as the solid bounded by two parallel planes and the set of all points equidistant from a line perpendicular to both planes. Thus, a cylinder has two circular flat surfaces--think of a can of soup. Typically, to solve for surface area or volume of a cylinder, the radius of the circular faces and the height of the cylinder are involved.
Formulas
In these formulas, 
is used to denote the radius and 
is used to denote the height.
- Surface area: $2\pir^2+2\pirh$ (Error compiling LaTeX. Unknown error_msg)
- Volume:
- The volume of a cylinder is thrice the volume of a cone with the same base radius and height
