A cylinder is a closed hard that has two parallel (usually circular) bases associated by a curved surface.

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Base and also side

A cylinder is a geometric solid the is very common in daily life, such as a soup can. If you take it it personally you uncover it has actually two ends, called bases, that space usually circular. The bases are constantly congruentand parallelto each other.If you to be to "unroll" the cylinder girlfriend would find the the side is in reality a rectangle once flattened out. (See surface ar area of a cylinder).


The elevation h is the perpendicular distance between the bases. It is essential to use the perpendicular elevation (or "altitude") as soon as calculating the volume of an tilt cylinder.


The radius r the a cylinder is the radiusof a base. If you are provided the diameter instead, remember to halve it.


A line joining the center of every base.

Right and also oblique cylinders

When the 2 bases are exactly over each other and also the axis is a best angles to the base, this is a called a "right cylinder".If one basic is displaced sideways, the axis is no at ideal angles come the bases and the result is called an slope cylinder.The bases, although not straight over each other, space still parallel.

In the applet in ~ the top of the page, examine the "allow oblique" box and drag the orange dot sideways to watch an tilt cylinder.

Right CylinderOblique Cylinder

Volume and also surface area

VolumeSee Volume of a cylinder because that more.Surface areaSee surface ar area of a cylinder for more.

The form of the bases

Usually the bases room circles, so a acquainted soup have the right to would be technically dubbed a "right one cylinder". This is the most typical kind, and if someone just says "cylinder" this is normally what lock mean.The bases can but be practically any bent shape, but the many common different to a circle is an ellipse. The shape would climate be dubbed an "elliptical cylinder".

Relation come a prism

A prism is a solid v bases that space polygons and also the sides are flat surfaces. (See definition of a prism). Strictly speaking a cylinder is no a prism, however it is extremely similar.In a prism wherein the bases are consistent polygons, the prism starts to approach being a cylinder when the number of sides is large.

For more on this, check out Relation of a cylinder to a prism.

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Another way to produce a cylinder

Another method to produce a one cylinder is to consider it the locusof a line relocating parallel to, and also a addressed distance indigenous the axis.