A solid cylinder with radius r and height h is stacked on top of another cylinder with the same height and radius. The total surface area of the formed shape is 

According to the information provided

When one cylinder is stacked on top of another, the base of the first cylinder and the top of the other cylinder are not covered by the total surface area

We are aware of this.

Total cylinder surface area $=2rh+2r^{2}h$

where

r = radius of the base

height = h

Total surface area of formed shape = 2(Total surface area of a single cylinder) – 2 (Area of base of cylinder)

$=2\left(2\pi rh+2\pi r^2\right)2\left(\pi r^2\right)$

$=4\pi rh+2\pi r^2$