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 [latex]A_{L}[/latex] dof a right circular cylinder of radius r and height h is given by [latex]A_{L}=2\pi rh[/latex], that is, the height multiplied by the circumference of the base.
The total area [latex]A_{T}[/latex] of a right circular cylinder of radius r and height h is given by [latex]A_{T}=2 \pi rh+2 \pi r^{2}[/latex], that is, the sum of the lateral area and the area of the two circular bases, or [latex]A_{T}=2 \pi r(h+r)[/latex].
The volume V of a right cylinder of radius r and height h is given by [latex]V=\pi r^{2}h[/latex].