[tex]\begin{gathered} \frac{radius\text{ smaller }}{radius\text{ larger}}=\frac{2}{7} \\ \text{surface area =2}\pi rh \\ Similiar\text{ cylinder means they have same high} \\ \frac{2\pi r_{\text{smaller}}h}{2\pi r_{larger}h} \\ \frac{r_{smaller}}{r_{larger}}=\frac{2}{7}\text{ hence} \\ \\ \frac{Area\text{ smaller }}{Area\text{ larger}}=\frac{2}{7} \\ \\ 7\cdot\text{Area smaller }=2\cdot\text{ Area larger} \\ \text{Area larger =}\frac{7}{2}\cdot Area\text{ smaller} \\ \text{Area larger =}\frac{7}{2}\cdot16\pi \\ \text{Area larger =}56\pi \\ \text{The surface area of the larger cylinder is }56\pi \end{gathered}[/tex]
