To find the surface area of a cylinder, we use the formula:
\[ \text{Surface Area} = 2\pi r(h + r) \]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Radius \( r = 5 \) inches,
- Height \( h = 10 \) inches.
Now, substituting the values into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 5 \times (10 + 5) \]
First, calculate \( (10 + 5) \):
\[ 10 + 5 = 15 \]
Now substitute this back into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 5 \times 15 \]
Calculating \( 2 \times 3.14 \):
\[ 2 \times 3.14 = 6.28 \]
Now, calculate \( 6.28 \times 5 \):
\[ 6.28 \times 5 = 31.4 \]
Finally, calculate \( 31.4 \times 15 \):
\[ 31.4 \times 15 = 471 \]
Thus, the surface area of the cylinder is:
\[ \text{Surface Area} = 471 \text{ square inches} \]
The answer is 471 square inches.
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