To find the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2\pi r(h + r) \]
where:
- \( r \) is the radius,
- \( h \) is the height.
Given:
- Radius \( r = 2 \) yards,
- Height \( h = 3 \) yards,
- Using \( \pi \approx 3.14 \).
Now substitute \( r \) and \( h \) into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 2(3 + 2) \]
Calculating \( (h + r) \):
\[ 3 + 2 = 5 \]
Now substituting back:
\[ \text{Surface Area} = 2 \times 3.14 \times 2 \times 5 \]
Calculating step by step:
\[ \text{Surface Area} = 2 \times 3.14 = 6.28 \]
\[ 6.28 \times 2 = 12.56 \]
\[ 12.56 \times 5 = 62.8 \]
Thus, the surface area of the cylinder is 62.8 square yards.
So the correct response is: 62.8