<u>Given</u>:
Given that the radius of the cylinder is 6 m.
The height of the cylinder is 7 m.
We need to determine the surface area of the cylinder.
<u>Surface area of the cylinder:</u>
The surface area of the cylinder can be determined using the formula,

where r is the radius and h is the height of the cylinder.
Substituting r = 6 and h = 7 in the above formula, we get;

Simplifying, we get;

Multiplying, we get;

Thus, the surface area of the cylinder is 489.84 square meters.
Hence, Option a is the correct answer.