Question

Find the surface area of a cylinder that has a height of 20 inches and a radius of 6 inches. Use 3.14 for π
. Round to the nearest hundredth.(1 point)
_ in.2

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,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.

Given:
- \( r = 6 \) inches,
- \( h = 20 \) inches.

Substituting the values into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 6 \times (20 + 6)
\]

First, calculate \( 20 + 6 \):

\[
20 + 6 = 26
\]

Now, substituting this back into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 6 \times 26
\]

Calculating step-by-step:

1. Calculate \( 2 \times 3.14 \):

\[
2 \times 3.14 = 6.28
\]

2. Now, calculate \( 6 \times 26 \):

\[
6 \times 26 = 156
\]

3. Now, multiply the results:

\[
\text{Surface Area} = 6.28 \times 156
\]

Calculating \( 6.28 \times 156 \):

\[
6.28 \times 156 = 979.68
\]

Thus, the surface area of the cylinder is approximately:

\[
\text{Surface Area} \approx 979.68 \, \text{in}^2
\]

Rounding to the nearest hundredth, the surface area is:

\[
\boxed{979.68} \, \text{in}^2
\]