Question

Find the surface area of the figure

Answer 1

Answer: First Option

`A = 790.90 cm^2`

Explanation:

The surface area of a circular cone is equal to the area of the cone surface plus the area of the circular base

`A = \pi r ^ 2 + \pi rs`

Where r is the radius of the base and s is the inclined height of the pyramid.

In this case we know that:

`r = (19)/(2)`

`s = 17`

Then the surface area of the cone is:

`A = \pi (9.5) ^ 2 + \pi (9.5)(17)`

`A = 790.90 cm^2`