The surface area of a right circular cone can be found using the formula:
A = πr²+ πrl
where r is the radius of the base, l is the slant height, and π is approximately 3.14159.
In this case, the diameter of the base is 8 m, so the radius is 4 m. The slant height is 18.5 m. The height is not needed for this calculation.
Substituting the given values, we get:
A = π(4 m)² + π(4 m)(18.5 m)
A = π(16 m²) + π(74 m²)
A = π(90 m²)
Using the approximation π ≈ 3.14159, we get:
A ≈ 282.74 m²
Therefore, the surface area of the right circular cone is approximately 283 m² rounded to the nearest whole.