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 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