Answer:
250 square inches.
Explanation:
The surface area of a cylinder is given by:
![S=2 \pi \: rh + 2\pi{r}^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/g62xizw9qflslpg1gxujnw1pgipkrjk06m.png)
From the diagram, the radius of the cylinder is r=3 in. and the height is h=10 in.
We substitute the radius and height to get:
![S=2 * 3.14 * 3 * 10 \: + 2 * 3.14 * {3}^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ni3njpaswvksodaes8ybhgucjr26ubvwbq.png)
![S=244.92](https://img.qammunity.org/2021/formulas/mathematics/middle-school/39yanol6w0lzfbr0u9r90s0ejihl78qlgc.png)
The surface area is approximately 250 in²