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)
Answers:
314 sq. Inches
471 sq. Inches
471 inches
345.4 sq inches

Answer 1

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 and \( h \) is the height of the cylinder.

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

Substituting these values into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 5 \times (10 + 5)
\]
\[
= 2 \times 3.14 \times 5 \times 15
\]
\[
= 2 \times 3.14 \times 75
\]
\[
= 6.28 \times 75
\]
\[
= 471 \text{ sq. inches}
\]

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