Question

Can you please help me out with a question

Answer 1

`\begin{gathered} \frac{radius\text{ smaller }}{radius\text{ larger}}=(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} \\ (r_(smaller))/(r_(larger))=(2)/(7)\text{ hence} \\ \\ \frac{Area\text{ smaller }}{Area\text{ larger}}=(2)/(7) \\ \\ 7\cdot\text{Area smaller }=2\cdot\text{ Area larger} \\ \text{Area larger =}(7)/(2)\cdot Area\text{ smaller} \\ \text{Area larger =}(7)/(2)\cdot16\pi \\ \text{Area larger =}56\pi \\ \text{The surface area of the larger cylinder is }56\pi \end{gathered}`