The formula for the total surface area \( A \) of a cylinder is given by:
\[ A = 2\pi r^2 + 2\pi rh \]
Where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder.
The first part of the formula, \( 2\pi r^2 \), calculates the area of the two circular bases, while the second part, \( 2\pi rh \), calculates the area of the curved surface (lateral surface area).