Question

find the surface area of the cylinder. Use the approximation of 3.14 for pi. The radius is 5 and the height is 13

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:
- Radius \( r = 5 \)
- Height \( h = 13 \)

Substituting the values into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 5 \times (13 + 5)
\]

Calculate \( 13 + 5 \):

\[
13 + 5 = 18
\]

Now substitute back into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 5 \times 18
\]

First, calculate \( 2 \times 3.14 \):

\[
2 \times 3.14 = 6.28
\]

Now calculate \( 6.28 \times 5 \):

\[
6.28 \times 5 = 31.4
\]

Next, multiply by \( 18 \):

\[
31.4 \times 18 = 565.2
\]

Therefore, the surface area of the cylinder is:

\[
\text{Surface Area} \approx 565.2 \text{ square units}
\]