ANSWER
301.6 ft²
Step-by-step explanation
The surface area of a cylinder is calculated using the formula;
![S.A = 2\pi \: r(r + h)](https://img.qammunity.org/2020/formulas/mathematics/high-school/1eodolfh70fgetw7w6fb13u3ntggc88472.png)
From the diagram the height of the cylinder is 8 feet and the radius is 4 feet.
We substitute the values into the formula to obtain,
![S.A = 2\pi \: 4(4+ 8)](https://img.qammunity.org/2020/formulas/mathematics/high-school/40w9tamewwj4w7lqltd2659of3m1b6cmqn.png)
This simplifies to:
![S.A = 8\pi \: (12)](https://img.qammunity.org/2020/formulas/mathematics/high-school/nla2uz1dw2ysuouq4sg8726jba25rz4c8y.png)
![S.A = 96\pi](https://img.qammunity.org/2020/formulas/mathematics/high-school/ek6ikrcqtlzi3ghmk5qug2zv4besysd6n3.png)
Or
![S.A = 301.6 {ft}^(2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/3t17pcm63kb4ae53cau3apjzxi78fjfalz.png)
to the nearest tenth.