The surface area \( A \) of a cylinder can be calculated using the formula:
\[ A = 2\pi r(h + r) \]
where \( r \) is the radius and \( h \) is the height of the cylinder.
Given:
- Height \( h = 4 \) yards
- Radius \( r = 2 \) yards
- Using \( \pi \approx 3.14 \)
Plugging in the values:
\[ A = 2 \times 3.14 \times 2 \times (4 + 2) \]
First, calculate \( (4 + 2) \):
\[ (4 + 2) = 6 \]
Now substitute this back into the equation:
\[ A = 2 \times 3.14 \times 2 \times 6 \]
Calculating step-by-step:
- Calculate \( 2 \times 2 = 4 \)
- Calculate \( 4 \times 6 = 24 \)
- Now, calculate \( 2 \times 3.14 = 6.28 \)
- Finally, multiply \( 6.28 \times 24 \).
Calculating \( 6.28 \times 24 \):
\[ 6.28 \times 24 = 150.72 \]
Rounding to the nearest tenth:
\[ A \approx 150.7 \]
Thus, the surface area of the cylinder is approximately \( \boxed{150.7} \) square yards.