To find the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2\pi r^2 + 2\pi rh \]
Where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.
Given:
- \( r = 5 \) ft,
- \( h = 8 \) ft,
- \( \pi = 3.14 \).
Now, let's calculate the surface area step by step.
-
Calculate the area of the two circular bases: \[ 2\pi r^2 = 2 \times 3.14 \times (5^2) = 2 \times 3.14 \times 25 = 157 \text{ ft}^2 \]
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Calculate the area of the side (lateral surface area): \[ 2\pi rh = 2 \times 3.14 \times 5 \times 8 = 2 \times 3.14 \times 40 = 251.2 \text{ ft}^2 \]
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Add the areas together to get the total surface area: \[ \text{Surface Area} = 157 + 251.2 = 408.2 \text{ ft}^2 \]
Thus, the surface area of the cylinder is \( \boxed{408.2} \) ft².