Question

the circumference of the base of a right circular cylinder is 26cm and it is 1m high.find the lateral surface area of the cylinder

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{r}\mathrm{be}\mathrm{the}\mathrm{radius}\mathrm{of}\mathrm{base}\mathrm{of}\mathrm{cylinder}. \\ \mathrm{Now},\mathrm{circumference}\mathrm{of}\mathrm{base}\mathrm{of}\mathrm{cylinder}=26\mathrm{cm} \\ \Rightarrow 2\mathrm{\pi r}=26 \\ \mathrm{Now},\mathrm{height}\mathrm{of}\mathrm{cylinder},\mathrm{h}=1\mathrm{m}=100\mathrm{cm} \\ \mathrm{Now},\mathrm{LSA}\mathrm{of}\mathrm{cylinder}=2\mathrm{\pi rh}=26\times 100=2600{\mathrm{cm}}^2 \end{gathered}$$