To find the surface area of a cylinder, we can use the formula:
\[ \text{Surface Area} = 2\pi r^2 + 2\pi rh \]
where \( r \) is the radius and \( h \) is the height of the cylinder.
To proceed, we need to know the values of \( r \) and \( h \). Since those values are not provided in your question, I can guide you through the calculation process with a generalized example.
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Choose an example: Let's say the radius \( r = 10 \) cm and the height \( h = 20 \) cm.
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Calculate each part:
- The area of the two bases: \[ 2\pi r^2 = 2 \times 3.14 \times (10^2) = 2 \times 3.14 \times 100 = 628 , \text{cm}^2 \]
- The lateral surface area: \[ 2\pi rh = 2 \times 3.14 \times 10 \times 20 = 2 \times 3.14 \times 200 = 1256 , \text{cm}^2 \]
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Combine both parts: \[ \text{Surface Area} = 628 + 1256 = 1884 , \text{cm}^2 \]
Now, using the actual radius and height of the cylinder, insert those values into the formulas and compute the surface area.
If we had different values for \( r \) and \( h \) from the options provided, we could compare the total surface areas derived from those values to calculate the correct surface area.
Since I do not have the dimensions of the cylinder, please provide them if available, or refer to the calculations based on your specific case, and let me know if I can assist further!