Hello!
The surface area of a cylinder is given by the formula: SA = 2πrh + 2πr².
From the given figure, the radius is 1.0 units and the height is 2.1 units.
With that, we can substitute the values into the formula and solve.
SA = 2π(1.0)(2.1) + 2π(1.0)²
SA = 2(2.1)π + 2(1.0)π
SA = 4.2π + 2.0π
SA = 6.2π
SA = 19.47787...
This can be simplified into 19.48 units².
Therefore, the surface area of this cylinder is choice C, 19.48 units².