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

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.