The formula for the total surface area \( A \) of a cylinder is given by:
\[ A = 2\pi r(h + r) \]
where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is a mathematical constant approximately equal to 3.14159.
This formula includes the areas of the two circular bases and the lateral (side) surface area of the cylinder.