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 base
- \( h \) is the height of the cylinder
Given:
- Radius \( r = 7 \) yards
- Height \( h = 8 \) yards
Now, plug in the values into the formula:
\[ \text{Surface Area} = 2 \cdot 3.14 \cdot 7(8 + 7) \] \[ = 2 \cdot 3.14 \cdot 7 \cdot 15 \] \[ = 2 \cdot 3.14 \cdot 105 \] \[ = 6.28 \cdot 105 \] \[ = 659.4 \text{ square yards} \]
It seems there was a mistake in my calculation. Let's verify that step by step.
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Calculate \( h + r \): \[ h + r = 8 + 7 = 15 \]
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Calculate \( 2\pi r \): \[ 2 \cdot 3.14 \cdot 7 = 43.96 \]
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Now calculate \( \text{Surface Area} \): \[ \text{Surface Area} = 43.96 \cdot 15 = 659.4 \text{ square yards} \]
Since the original surface area calculation resulted in an unexpected outcome, we may need to double check the rounded values provided. Looking at the information again, none of the given options directly corresponds with the correctly calculated surface area of \( 659.4 \) square yards.
The provided possible answers were:
- 329.7 square yards
- 577.76 square yards
- 252.77 square yards
It appears there might have been an error in entering values or a need to match provided options. However, without introducing rounding or different variables, the calculated surface area is indeed \( 659.4 \) square yards, aligning neither with expected choices.
It may be worth cross-checking provided values or questioning the source for modification if these are fixed selections.
2 answers