To find the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2\pi r(h + r) \]
where \( r \) is the radius and \( h \) is the height of the cylinder.
Given:
- Radius \( r = 5 \) inches
- Height \( h = 10 \) inches
- Approximation for \( \pi = 3.14 \)
Now substitute the values into the formula:
\[ \text{Surface Area} = 2 \cdot 3.14 \cdot 5 \cdot (10 + 5) \]
Calculating step-by-step:
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Calculate \( h + r \): \[ 10 + 5 = 15 \]
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Now substitute that back into the formula: \[ \text{Surface Area} = 2 \cdot 3.14 \cdot 5 \cdot 15 \]
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Calculate \( 2 \cdot 3.14 \cdot 5 \): \[ 2 \cdot 3.14 = 6.28 \] \[ 6.28 \cdot 5 = 31.4 \]
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Now multiply by 15: \[ 31.4 \cdot 15 = 471 \]
Thus, the surface area of the cylinder is \( 471 \) square inches.
The correct response is 471 square inches.