Given:
Radius of the cylinder = 5 in
Height of the cylinder = 30 in.
To find:
The surface area of the cylinder.
Solution:
The surface area of the cylinder is:
![SA=2\pi r^2+2\pi rh](https://img.qammunity.org/2022/formulas/mathematics/high-school/za9gmvnbg3o6djx8mmkto1esybz3g65xfi.png)
Where, r is the radius and h is the height of the cylinder.
Putting
in the above formula, we get
![SA=2(3.14)(5)^2+2(3.14)(5)(30)](https://img.qammunity.org/2022/formulas/mathematics/high-school/zm6y2yca31gwv6gpzwew0dwe1yycvzcdvm.png)
![SA=2(3.14)(25)+942](https://img.qammunity.org/2022/formulas/mathematics/high-school/lhr6gvpdwkhniq3snnb7k9wgm6pu71noug.png)
![SA=157+942](https://img.qammunity.org/2022/formulas/mathematics/high-school/f5wqf1i99xwe9ibe99qq95k3io3720ldnx.png)
![SA=1099](https://img.qammunity.org/2022/formulas/mathematics/high-school/fr9xvwjvavq5t32jsqb0wcu2xlbef4cyj5.png)
Therefore, the surface area of the cylinder is 1099 square inches.