Art of Problem Solving

Cylinder: Difference between revisions

Charking (talk | contribs)
Formatting
Charking (talk | contribs)
m Fixed LaTeX
 
Line 6: Line 6:
==Formulas==
==Formulas==
In these formulas, <math>r</math> is used to denote the radius and <math>h</math> is used to denote the height.
In these formulas, <math>r</math> is used to denote the radius and <math>h</math> is used to denote the height.
*[[Surface area]]: <math>2\pir^2+2\pirh</math>
*[[Surface area]]: <math>2\pi r^2+2\pi rh</math>
*[[Volume]]: <math>\pi r^2h</math>
*[[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
*The volume of a cylinder is thrice the volume of a cone with the same base radius and height

Latest 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, $r$ is used to denote the radius and $h$ is used to denote the height.

  • Surface area: $2\pi r^2+2\pi rh$
  • Volume: $\pi r^2h$
  • The volume of a cylinder is thrice the volume of a cone with the same base radius and height

See also