To find the surface area of a cylinder, we use the formula:
\[ \text{Surface Area} = 2\pi r(h + r) \]
where \( r \) is the radius and \( h \) is the height of the cylinder. However, to provide a specific answer, we'll need the radius and height of the cylinder.
Since those values are not given in your question, let's assume we can determine them through the possible answer choices you've provided.
We can approximate these calculations with π ≈ 3.14:
If we assume that the radius and height provide each of the possibility answers, we can solve for both the radius and height based on them.
Let us check the options:
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Option 1: 628 cm² \[ 2\pi r(h + r) = 628 \] Plugging in π: \[ 2 \cdot 3.14 \cdot r(h + r) = 628 \implies 6.28 r(h + r) = 628 \implies r(h + r) = 100 \]
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Option 2: 533.8 cm² \[ 2\pi r(h + r) = 533.8 \implies 6.28 r(h + r) = 533.8 \implies r(h + r) = 85 \]
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Option 3: 628 cm² This is identical to Option 1.
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Option 4: 1,099 cm² \[ 2\pi r(h + r) = 1,099 \implies 6.28 r(h + r) = 1,099 \implies r(h + r) = 175 \]
Since we cannot determine the radius and height values solely from those result combinations without knowing actual dimensions, the surface area value 628 square centimeters stands out.
If both options were calculated correctly, the correct answer for the surface area of a cylinder would ultimately be
628 square centimeters as the most plausible assumption unless specific values for height or radius are provided.
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