To find the surface area of a cylinder, the formula is:
\[ \text{Surface Area} = 2\pi r^2 + 2\pi rh \]
where \( r \) is the radius and \( h \) is the height of the cylinder.
Given that the diameter is 7 yards, the radius \( r \) is half of the diameter:
\[ r = \frac{7}{2} = 3.5 \text{ yards} \]
The height \( h \) is given as 8 yards.
Now, we can plug the values into the surface area formula, using \( \pi \approx 3.14 \):
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Calculate the area of the two bases: \[ 2\pi r^2 = 2 \times 3.14 \times (3.5)^2 \] \[ = 2 \times 3.14 \times 12.25 = 2 \times 3.14 \times 12.25 \approx 76.63 \text{ square yards} \]
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Calculate the area of the curved surface: \[ 2\pi rh = 2 \times 3.14 \times 3.5 \times 8 \] \[ = 2 \times 3.14 \times 28 = 2 \times 87.92 \approx 175.84 \text{ square yards} \]
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Now, add the areas together to find the total surface area: \[ \text{Total Surface Area} = 76.63 + 175.84 = 252.47 \text{ square yards} \]
Therefore, the surface area of the cylinder is approximately:
\[ \boxed{252.47} \text{ square yards} \]