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
• 314 square inches
• 471 inches
• 471 square inches

Answer 1

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 of the cylinder,
- \( h \) is the height of the cylinder.

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

Now, we can plug in the values into the formula:

1. Calculate the area of the two circular bases:
\[
2\pi r^2 = 2 \times 3.14 \times (5)^2 = 2 \times 3.14 \times 25 = 2 \times 78.5 = 157 \text{ square inches}
\]

2. Calculate the lateral surface area:
\[
2\pi rh = 2 \times 3.14 \times 5 \times 10 = 2 \times 3.14 \times 50 = 2 \times 157 = 314 \text{ square inches}
\]

3. Now, add both areas together:
\[
\text{Surface Area} = 157 + 314 = 471 \text{ square inches}
\]

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

The correct answer is:
• 471 square inches