Question

Total surface area of a cylinder of radius $r$ and height $h$ is _________

Answer 1

The area of the curved surface of the cylinder which is contained between the two parallel circular bases. It is also stated as a lateral surface area. The formula for it is given by

Curved Surface Area (CSA) = $2\mathrm{\pi rh}$ square units

Total Surface Area of Cylinder

The total surface area of a cylinder is the sum of curved surafce area and the area of two circular bases.

$TSA=CurvedSurfaceArea+Areaofcircularbases$

$$\begin{gathered} TSA=2\mathrm{\pi rh}+2{\mathrm{\pi r}}^2 \\ \mathrm{TSA}=2\mathrm{\pi r}(\mathrm{r}+\mathrm{h}) \end{gathered}$$

Hence, the answer is $2\mathrm{\pi r}(\mathrm{r}+\mathrm{h})$