The formula for the total surface area \( A \) of a cylinder is given by:
\[ A = 2\pi r h + 2\pi r^2 \]
where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder.
The first term \( 2\pi r h \) represents the lateral surface area, and the second term \( 2\pi r^2 \) accounts for the areas of the two circular bases.