To find the surface area of the cylinder, we will use the formula for the surface area of a cylinder:
\[ \text{Surface Area} = 2\pi r(h + r) \]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximated as 3.14.
Given:
- Height \( h = 3 \) yards
- Radius \( r = 2 \) yards
Substituting these values into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 2 \times (3 + 2) \]
Calculating the value inside the parentheses first:
\[ 3 + 2 = 5 \]
Now substituting back into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 2 \times 5 \]
Calculating \( 2 \times 5 = 10 \):
\[ \text{Surface Area} = 2 \times 3.14 \times 10 \]
Now calculating \( 2 \times 3.14 = 6.28 \):
\[ \text{Surface Area} = 6.28 \times 10 = 62.8 \]
Thus, the surface area of the cylinder is \( \mathbf{62.8} \).
The correct response is 62.8.
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