To find the surface area of a cylinder, we can use the formula:
\[ \text{Surface Area} = 2\pi r(h + r) \]
where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.
For your cylinder:
- Height \( h = 4 \) yards,
- Radius \( r = 2 \) yards,
- Using \( \pi \approx 3.14 \).
Now we can substitute the values into the formula:
-
Calculate \( h + r \): \[ h + r = 4 + 2 = 6 \]
-
Calculate \( 2\pi r \): \[ 2\pi r = 2 \times 3.14 \times 2 = 12.56 \]
-
Now, multiply \( 2\pi r \) by \( (h + r) \): \[ \text{Surface Area} = 12.56 \times 6 = 75.36 \]
Thus, the surface area of the cylinder is approximately:
\[ \text{Surface Area} \approx 75.4 \text{ yards}^2 \]
So the final answer, rounded to the nearest tenth, is:
\(\boxed{75.4 \text{ yards}^2}\)