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