Question

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

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 of the base of the cylinder,
- \( h \) is the height of the cylinder, and
- \( \pi \) is approximately 3.14 for this problem.

Given:
- \( r = 5 \)
- \( h = 13 \)

Now plug the values into the formula:

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

First, calculate \( (13 + 5) \):

\[
13 + 5 = 18
\]

Now substitute this back into the equation:

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

Now calculate \( 2 \times 3.14 \times 5 \):

\[
2 \times 3.14 = 6.28
\]
\[
6.28 \times 5 = 31.4
\]

Now multiply by 18:

\[
31.4 \times 18 = 565.2
\]

Therefore, the surface area of the cylinder is:

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

So the final answer for the surface area of the cylinder is **565.2 square units**.