Answer
$\text{approximately } 211.6 \text{ square centimeters}
$
Work Step by Step
Substituting $h=3$ and $r=4$ in the given equation, $
A=\pi r\sqrt{r^2+h^2}
,$ results to
\begin{array}{l}\require{cancel}
A=\pi (6.8)\sqrt{6.8^2+7.2^2}
\\
A=6.8\pi\sqrt{46.24+51.84}
\\
A=6.8\pi\sqrt{98.08}
\\
A\approx211.6
.\end{array}
Hence, the lateral surface area, $A,$ is $
\text{approximately } 211.6 \text{ square centimeters}
.$
