Respuesta :

Answer: OPTION C

Step-by-step explanation:

You need to use this formula for calculate the surface area of the right cylinder:

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

Where "r" is the radius and "h" is the height.

You can identify in the figure that:

[tex]r=6units\\h=14units[/tex]

Knowing this, you can substitute these values into the formula [tex]SA=2\pi r^2+2\pi rh[/tex], therefore you get that the surface area of this right cylinder is:

[tex]SA=2\pi (6units)^2+2\pi (6units)(14units)[/tex]

[tex]SA=240\pi\ units^2[/tex]

Answer is C

A=2πrh+2πr^2

A=2π*6*14+2π*(6)^2

A=π*(2*6*14+2*6^2)= 240 π