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,
- \( h \) is the height.
For this cylinder:
- \( r = 5 \) inches
- \( h = 10 \) inches
- Use \( \pi \approx 3.14 \)
Now we can calculate each part of the surface area.
-
Calculate the area of the two bases: \[ 2\pi r^2 = 2(3.14)(5^2) = 2(3.14)(25) = 2(78.5) = 157 \text{ square inches} \]
-
Calculate the lateral surface area: \[ 2\pi rh = 2(3.14)(5)(10) = 2(3.14)(50) = 2(157) = 314 \text{ square inches} \]
-
Combine both parts to find the total surface area: \[ \text{Surface Area} = 157 + 314 = 471 \text{ square inches} \]
Thus, the surface area of the cylinder is 471 square inches.