To find the surface area of a cylinder, the formula is.
[tex]\text{Surface Area = 2}\pi rh+2\pi r^2[/tex]
Where diameter, d, and height, h, is given below as,
[tex]\begin{gathered} d=12m \\ h=20m \end{gathered}[/tex]
Where radius, r, is half of the diameter,
[tex]\begin{gathered} r=\frac{d}{2},\text{ where d =12m} \\ r=\frac{12}{2}=6m \end{gathered}[/tex]
Substituting for r and h into the surface area formula above,
[tex]\begin{gathered} \text{Surface Area =2}\pi rh+2\pi r^2=2\pi r(h+r) \\ \pi\text{ is taken as 3.14} \\ =2(3.14)(6)\lbrack20+6\rbrack=37.68\times26=979.68m^2 \end{gathered}[/tex]
Hence, the surface area of the cylinder is 979.68m²
