Answer: First Option
[tex]A = 790.90 cm^2[/tex]
Step-by-step explanation:
The surface area of a circular cone is equal to the area of the cone surface plus the area of the circular base
[tex]A = \pi r ^ 2 + \pi rs[/tex]
Where r is the radius of the base and s is the inclined height of the pyramid.
In this case we know that:
[tex]r = \frac{19}{2}[/tex]
[tex]s = 17[/tex]
Then the surface area of the cone is:
[tex]A = \pi (9.5) ^ 2 + \pi (9.5)(17)[/tex]
[tex]A = 790.90 cm^2[/tex]
