So we are looking at a cylinder similar to this:

If we were to cut this cylinder apart, it would look like this:

To find the surface area of one of the circles we have to use *pi**r^{2}

3.14*8^{2} = ?

3.14*64

=200.96

There are two circles, so we will times this by 2

200.96*2 = 401.92

Now that we have the surface area of the two circles, we just need to figure out the surface area of the big rectangle. To figure this out, we will use **(2r****pi)**h

2(8)*3.14*4

= 200.96

Now we just add up the two circles + the big rectangle, and we have our surface area.

401.92+200.96 = 602.88

The surface area of this cylinder is 602.88 units.