Step 1 :Given that the height (a) of the cone is 8m and the radius (b) is 3m.
Step 2 :The formula for the surface area of a cone is \(\pi r(r + \sqrt{h^2 + r^2})\), where r is the radius and h is the height.
Step 3 :Substitute the given values into the formula: \(\pi * 3(3 + \sqrt{8^2 + 3^2})\).
Step 4 :Calculate the surface area to get approximately 108.8 square meters.
Step 5 :Round this value to the nearest whole number to get 109 square meters.
Step 6 :Final Answer: The surface area of the right cone, to the nearest square meter, is \(\boxed{109}\) square meters.