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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.