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**.

### 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 \(V=\pi r^{2}h\).