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In common usage, a cylinder is taken to mean a **right circular cylinder**, as in the picture.

If the cylinder has a
radius *r* and height *h*, then its
volume is given
by:

V = pi r^2 h

**Defenition right circular cylinder**

A cylinder which has bases aligned one directly above the other. Bases
that are circles.

**Defenition cylinder**

A three-dimensional geometric figure with parallel congruent
bases. The bases can be shaped
like any closed plane figure (not necessarily a circle) and must be oriented
identically.

More definitions see:

mathwords.com cylinder

mathworld.com cylinder

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