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.
Given:
- \( r = 5 \) inches
- \( h = 10 \) inches
- Using \( \pi \approx 3.14 \)
Let's calculate it step by step.
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Calculate the area of the two bases: \[ 2\pi r^2 = 2 \times 3.14 \times (5)^2 = 2 \times 3.14 \times 25 = 157 \text{ square inches} \]
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Calculate the lateral surface area: \[ 2\pi rh = 2 \times 3.14 \times 5 \times 10 = 2 \times 3.14 \times 50 = 314 \text{ square inches} \]
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Add both areas together: \[ \text{Surface Area} = 157 + 314 = 471 \text{ square inches} \]
Thus, the surface area of the cylinder is 471 square inches.
Correct response: 471 square inches.
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