Question

Find the surface area of a cylinder with a radius of 5 inches and a height of 10 inches. Use the approximation 3.14 for pi.
(1 point)
345.4 square inches
• 471 square inches
• 471 inches
• 314 square inches

Answer 1

To find the surface area of a cylinder, we can use the formula:

\[
SA = 2\pi r^2 + 2\pi rh
\]

where \( r \) is the radius and \( h \) is the height of the cylinder.

Given:
- Radius (\( r \)) = 5 inches
- Height (\( h \)) = 10 inches
- \( \pi \approx 3.14 \)

Now, we can calculate the surface area step by step.

1. Calculate the area of the two bases (top and bottom):
\[
2\pi r^2 = 2 \times 3.14 \times (5)^2 = 2 \times 3.14 \times 25 = 157 \text{ square inches}
\]

2. Calculate the lateral surface area:
\[
2\pi rh = 2 \times 3.14 \times 5 \times 10 = 2 \times 3.14 \times 50 = 314 \text{ square inches}
\]

3. Sum the two areas to find the total surface area:
\[
SA = 157 + 314 = 471 \text{ square inches}
\]

Thus, the surface area of the cylinder is **471 square inches**.