The surface area of a cylinder is equal to the sum of the areas of the bases each having an area of , plus the area of the side. The area of the side is equal to the area of a rectangle with length (the circumference of the base) times the height.

Substitute the values of the radius and height into the formula. Pi is approximately equal to .

Simplify each term.

Raise to the power of .

Multiply by .

Multiply by .

Multiply by .

Add and .

The result can be shown in multiple forms.

Exact Form:

Decimal Form: