Right Cylinder

Right Cylinder

Cylinder whose generatrices are perpendicular to the bases.

In a right cylinder, the two parallel and congruent bases need not be circles.

Property

A right cylinder whose bases are circles is also called a right circular cylinder.

If the bases of a cylinder are circles, then the cylinder is said to have circular bases.

Examples

Right circular cylinder and right cylinder with an non-circular base:

Formulas

The lateral area $$A_{L}$$ dof a right circular cylinder of radius r and height h is given by $$A_{L}=2\pi rh$$, that is, the height multiplied by the circumference of the base.

The total area $$A_{T}$$ of a right circular cylinder of radius r and height h is given by $$A_{T}=2 \pi rh+2 \pi r^{2}$$, that is, the sum of the lateral area and the area of the two circular bases, or $$A_{T}=2 \pi r(h+r)$$.

The volume V of a right cylinder of radius r and height h is given by $$V=\pi r^{2}h$$.