Respuesta :

Answer:

A 297.33

Step-by-step explanation:

[tex]radius=5[/tex]

[tex]height=13[/tex]

Using the formulas:

[tex]A=\pi rl+\pi r^2[/tex]

[tex]l=\sqrt{r^2+h^2}[/tex]

Solving for A:

[tex]A=\pi r(r+\sqrt{h^2+r^2})=\pi *5*(5+\sqrt{13^2+5^2})[/tex] ≈ [tex]297.32643[/tex]

Therefore, the surface area of the cone is 297.33.

Learn more about the surface area here:

https://brainly.com/question/16519513