A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the figure. If the height of the cylinder is 10…

Height of cylinder \(\displaystyle =10 \mathrm{~cm}\) Radius of cylinder = radius of hemisphere \(\displaystyle =3 \cdot 5=\frac{7}{2} \mathrm{~cm}\) Total surface area of the article = CSA of cylinder + CSA of $\displaystyle 2$ hemispheres \[\begin{aligned} & =2 \pi \mathrm{rh}+2 \times 2 \pi \mathrm{r}^{2} \\ & =2 \pi \mathrm{r}(\mathrm{~h}+2 \mathrm{r}) \\ & =2 \times \frac{22}{7} \times \frac{7}{2}\left(10+2 \times \frac{7}{2}\right) \\ & =22 \times 17=374 \mathrm{~cm}^{2} \end{aligned} \]