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 and \( h \) is the height.
Given:
- Radius \( r = 2 \) yards
- Height \( h = 4 \) yards
- Using \( \pi \approx 3.14 \)
Now, plug in the values into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 2 \times (4 + 2) \]
Calculating step-by-step:
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Calculate \( 4 + 2 \): \[ 4 + 2 = 6 \]
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Multiply \( r \) by \( h + r \): \[ 2 \times 6 = 12 \]
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Now calculate \( 2 \times 3.14 \times 12 \): \[ 2 \times 3.14 = 6.28 \] \[ 6.28 \times 12 = 75.36 \]
Thus, the surface area of the cylinder is approximately \( 75.36 \) square yards.
Rounding to the nearest tenth gives:
\[ \text{Surface Area} \approx 75.4 \text{ square yards} \]
Therefore, the final answer is 75.4 square yards.