First we will obtain the lateral surface area
[tex]Lateral\text{ SA}=2\pi rh[/tex]we have
h=11m
r=7m
we substitute the values
[tex]Lateral\text{ SA}=2(3.14)(7)(11)[/tex][tex]Lateral\text{ SA}=483.56m^2[/tex]For the total surface area we will use the next formula
[tex]\text{Total SA}=2\pi r^2+Lateral\text{ SA}[/tex]we substitute the values
[tex]\begin{gathered} \text{Total SA}=2(3.14)(7)^2+483.56 \\ \end{gathered}[/tex][tex]\text{Total SA}=791.28m^2[/tex]