To find the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2\pi r^2 + 2\pi rh \]
where \( r \) is the radius and \( h \) is the height of the cylinder.
Given:
- Radius \( r = 5 \) inches
- Height \( h = 10 \) inches
- Approximation \( \pi \approx 3.14 \)
Now, we can calculate the surface area.
-
Calculate the area of the two circular bases: \[ 2\pi r^2 = 2 \times 3.14 \times (5^2) = 2 \times 3.14 \times 25 = 157 \text{ square inches} \]
-
Calculate the area of the curved surface: \[ 2\pi rh = 2 \times 3.14 \times 5 \times 10 = 2 \times 3.14 \times 50 = 314 \text{ square inches} \]
-
Add the two areas together: \[ \text{Surface Area} = 2\pi r^2 + 2\pi rh = 157 + 314 = 471 \text{ square inches} \]
Thus, the surface area of the cylinder is \( \boxed{471} \) square inches. The correct answer from the options provided is option 1: 471 square inches.