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,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Radius \( r = 5 \) inches
- Height \( h = 10 \) inches
Now substitute the values into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 5 \times (10 + 5) \] \[ = 2 \times 3.14 \times 5 \times 15 \] \[ = 2 \times 3.14 \times 75 \] \[ = 2 \times 235.5 \] \[ = 471 \text{ square inches} \]
Therefore, the surface area of the cylinder is 471 square inches.