Respuesta :

Hello!

The equation we use to find the surface area of a cylinder is

[tex]2 \pi rh+2 \pi r^{2} [/tex]

r is the radius
h is the height

Put in the values we know

[tex]2 \pi (6)(12) + 2 \pi (6)^{2} [/tex]

Multiply the 2, 6 and 12

[tex]144 \pi +2 \pi 6^{2} [/tex]

Square the 6

[tex]144 \pi +2 \pi 36[/tex]

Multiply the 2 and 36

[tex]144 \pi +72 \pi [/tex]

Add

[tex]216 \pi [/tex]

The answer is A)[tex]216 \pi in^{2} [/tex]

Hope this helps!