for this case we have that by definition, the surface area of a cylinder is given by:
![sa = 2 \pi * r * h + 2 \pi * r ^ 2](/tex.php?f=sa = 2 \pi * r * h + 2 \pi * r ^ 2)
where:
r: it is the radius of the cylinder
h: it is the height of the cylinder
we can also rewrite it as:
![sa = la + 2ba](/tex.php?f=sa = la + 2ba)
where:
la: it's the lateral area
ba: area of the base
option a