To find the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2\pi r^2 + 2\pi rh \]
where \( r \) is the radius and \( h \) is the height.
Given:
- Radius \( r = 5 \) inches
- Height \( h = 10 \) inches
- Approximation of \( \pi = 3.14 \)
Now, plug in the values into the formula:
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Calculate the area of the two circular bases: \[ 2\pi r^2 = 2 \times 3.14 \times (5^2) = 2 \times 3.14 \times 25 = 157 \]
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Calculate the lateral surface area: \[ 2\pi rh = 2 \times 3.14 \times 5 \times 10 = 2 \times 3.14 \times 50 = 314 \]
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Add the areas together to get the total surface area: \[ \text{Surface Area} = 157 + 314 = 471 \text{ square inches} \]
So, the correct answer is:
471 square inches.