The surface area \(A\) of a cone can be calculated using the formula:
\[ A = \pi r (r + l) \]
where \(r\) is the radius, \(l\) is the slant height, and \(\pi\) is approximately 3.14.
Given:
- Radius \(r = 5\) meters
- Slant height \(l = 8\) meters
Now, substitute the values into the formula:
\[ A = 3.14 \times 5 \times (5 + 8) \]
First, calculate \(5 + 8\):
\[ 5 + 8 = 13 \]
Now substitute this value back into the surface area formula:
\[ A = 3.14 \times 5 \times 13 \]
Calculating \(5 \times 13\):
\[ 5 \times 13 = 65 \]
Now, calculate \(A\):
\[ A = 3.14 \times 65 \]
Calculating \(3.14 \times 65\):
\[ 3.14 \times 65 = 204.1 \]
Thus, the surface area of the cone is approximately
\[ \boxed{204.1} \text{ square meters.} \]