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 and \( h \) is the height of the cylinder.
Given:
- \( h = 3 \) yards
- \( r = 2 \) yards
- \( \pi \approx 3.14 \)
Now, let's plug in the values:
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Calculate \( h + r \): \[ h + r = 3 + 2 = 5 \text{ yards} \]
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Calculate the surface area: \[ \text{Surface Area} = 2 \times 3.14 \times 2 \times 5 \]
First calculate \( 2 \times 2 \times 5 \): \[ 2 \times 2 = 4 \] \[ 4 \times 5 = 20 \]
Now multiply by \( 2 \times 3.14 \): \[ 2 \times 3.14 = 6.28 \]
Now multiply \( 6.28 \) by \( 20 \): \[ 6.28 \times 20 = 125.6 \]
Thus, the surface area of the cylinder is \( 125.6 \) square yards.
Since none of the provided multiple-choice responses matches the correct surface area, there seems to be an error either in the options or in the given problem. Please double-check the options or the input values.