Cylinder

A (right circular) cylinder is a three-dimensional solid with two parallel, congruent circular bases and a curved lateral surface connecting the bases. The segment joining the centers of the bases is called the axis, and the perpendicular distance between the bases is the height $h$. The radius $r$ is the radius of the bases.

Important properties

• Surface area: $A = 2 ext{π}r^2 + 2 ext{π}rh$ (two bases plus lateral surface).

• Volume: $V = ext{π}r^2h$.

• The axis is perpendicular to the bases in a right cylinder.

• If the axis is not perpendicular, the cylinder is called oblique.