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 of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14.
Given:
- Diameter = 7 yards, therefore the radius \( r = \frac{7}{2} = 3.5 \) yards,
- Height \( h = 8 \) yards.
Now, substituting the values into the formula:
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Calculate \( h + r \): \[ h + r = 8 + 3.5 = 11.5 \text{ yards} \]
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Now substitute \( r \) and \( h + r \) into the surface area formula: \[ \text{Surface Area} = 2 \times 3.14 \times 3.5 \times 11.5 \]
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Calculate \( 2 \times 3.14 = 6.28 \).
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Then calculate \( 6.28 \times 3.5 = 21.98 \).
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Finally, calculate \( 21.98 \times 11.5 \): \[ 21.98 \times 11.5 \approx 252.77 \]
Thus, the surface area of the cylinder is approximately:
\[ \text{Surface Area} \approx 252.77 \text{ square yards} \]
The correct response is 252.77 square yards.