To find the surface area of a cylinder, we use the formula:
\[ \text{Surface Area} = 2\pi r^2 + 2\pi rh \]
where:
- \( r \) is the radius,
- \( h \) is the height.
Given:
- Radius \( r = 5 \) inches
- Height \( h = 10 \) inches
- \( \pi \approx 3.14 \)
Now we can plug in the values.
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Calculate the area of the two circular bases: \[ 2\pi r^2 = 2 \times 3.14 \times (5^2) = 2 \times 3.14 \times 25 = 2 \times 78.5 = 157 \text{ square inches} \]
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Calculate the area of the curved surface: \[ 2\pi rh = 2 \times 3.14 \times 5 \times 10 = 2 \times 3.14 \times 50 = 2 \times 157 = 314 \text{ square inches} \]
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Add both areas together: \[ \text{Surface Area} = 157 + 314 = 471 \text{ square inches} \]
Therefore, the surface area of the cylinder is: \[ \text{471 square inches} \]
The correct response is: 471 square inches.
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