Let's look at the geometric characteristics of a cylinder. But first, please review the definition of Surface Area Of Three-Dimensional Shapes.

- A cylinder is a two dimensional circle with height; with height it becomes a three dimensional shape.
- The trick is to
identify the area of the cylinder base which is a circle: Area Of A Circle. This result will be part of the surface area of a
cylinder formula; the formula for the base or area of a circle: πr
^{2}. Also keep in mind there are two base areas - top and bottom. - To learn the surface area of the cylinder, we must
multiply the height of the cylinder by the circumference of the
cylinder. Let us call the height of the cylinder
**H**. We know from basic math that the circumference of a circle can be computed using the following formula: 2 times Pi times the radius of the circumference or more simply 2πr. - Special note, the Base, and Height of the cylinder must be greater than zero.

**Surface Area Of A Cylinder Formula**

Formula = (Base + Base) + (Circumference * Height) =

Formula = (πr^{2} + πr^{2}) + ((2 × π × r) × H) =

Formula = (2 × π × r^{2}) + (2 × π × r × H) =

Formula = 2πr^{2} + 2πrH =

Image Of A Three Dimensional Cylinder