Find the radius of the base of a right circular cylinder whose curved surface area is 352cm2 and height 16cm.

Dear Student,
​Let r be the radius and h be the height of the given cyl​inder
then, curved surface area of cylinder =2$\mathrm{\pi }$rh


$$\begin{gathered} 352=2\mathrm{\pi rh} \\ h=16cm(given) \\ \Rightarrow r=\frac{352}{2\mathrm{\pi h}} \\ \Rightarrow \mathrm{r}=\frac{352}{2\mathrm{\pi }\left(16\right)} \\ \Rightarrow \mathrm{r}=3.5cm \\ \mathrm{Hence}\mathrm{radius}\mathrm{of}\mathrm{the}\mathrm{given}\mathrm{cylinder}=3.5\mathrm{cm} \end{gathered}$$

Regards.