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 inches
471 inches

314 square inches
314 square inches

471 square inches
471 square inches

345.4 square 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
- Approximation for \( \pi = 3.14 \)

Now substitute the values into the formula:

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

Calculating step-by-step:

1. Calculate \( h + r \):
\[
10 + 5 = 15
\]

2. Now substitute that back into the formula:
\[
\text{Surface Area} = 2 \cdot 3.14 \cdot 5 \cdot 15
\]

3. Calculate \( 2 \cdot 3.14 \cdot 5 \):
\[
2 \cdot 3.14 = 6.28
\]
\[
6.28 \cdot 5 = 31.4
\]

4. Now multiply by 15:
\[
31.4 \cdot 15 = 471
\]

Thus, the surface area of the cylinder is \( 471 \) square inches.

The correct response is **471 square inches**.