Hello!
the answer is:
the correct option is the option b.
![surfacearea=126\pi units^{2}](/tex.php?f=surfacearea=126\pi units^{2})
why?
to calculate the surface area of the right cylinder, we need to use the following formula:
![surfacearea=2\pi rh+\pi r^{2}](/tex.php?f=surfacearea=2\pi rh+\pi r^{2})
from the picture we know that:
![h=2units\\r=7units](/tex.php?f=h=2units\\r=7units)
so, substituting and calculting we have:
![surfacearea=2\pi rh+\pi r^{2}surfacearea=2*\pi *7*2+2*\pi *7^{2}=28\pi + 98\pi =126\pi units^{2}](/tex.php?f=surfacearea=2\pi rh+\pi r^{2}surfacearea=2*\pi *7*2+2*\pi *7^{2}=28\pi + 98\pi =126\pi units^{2})
hence, we have that the correct option is the option b.
![surfacearea=126\pi units^{2}](/tex.php?f=surfacearea=126\pi units^{2})
have a nice day!