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)
Responses

471 square inches

314 square inches

345.4 square inches

471 inches

Answer 1

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

\[
\text{Surface Area} = 2\pi r(h + r)
\]

where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.

Given:
- Radius \( r = 5 \) inches,
- Height \( h = 10 \) inches.

Now, substituting the values into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 5 \times (10 + 5)
\]

First, calculate \( (10 + 5) \):

\[
10 + 5 = 15
\]

Now substitute this back into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 5 \times 15
\]

Calculating \( 2 \times 3.14 \):

\[
2 \times 3.14 = 6.28
\]

Now, calculate \( 6.28 \times 5 \):

\[
6.28 \times 5 = 31.4
\]

Finally, calculate \( 31.4 \times 15 \):

\[
31.4 \times 15 = 471
\]

Thus, the surface area of the cylinder is:

\[
\text{Surface Area} = 471 \text{ square inches}
\]

The answer is **471 square inches**.