Respuesta :

Answer:

596.9 cm^2

Step-by-step explanation:

The surface area of a cylinder is [tex]SA=2\pi rh+2\pi r^2[/tex] where [tex]r[/tex] is the radius of the base of the cylinder and [tex]h[/tex] is the height of the cylinder.

So, the surface area of the cylinder is:

[tex]SA=2\pi rh+2\pi r^2[/tex]

[tex]SA=2\pi (5)(14)+2\pi (5)^2[/tex]

[tex]SA=2\pi(70)+2\pi(25)[/tex]

[tex]SA=2\pi(70+25)[/tex]

[tex]SA=2\pi(95)[/tex]

[tex]SA=190\pi[/tex]

[tex]SA\approx596.9[/tex]

596.9 cm^2 is the answer