Question 955610
the first thing that should be considered, is that we are thinking f a cylinder. This problem can be done in several steps. The first step that I would take is, find the circumference of the circle. The formula for the circumference of the circle is C =  d · Pi, where d is the diameter. I would first convert 2 2/3 into an improper fraction, so it will be 8/3.
(pi)(8/3)
8/3 pi.
Now, we can multiply that by 4 to get the area of the rectangle part of the cylinder.
(8/3 pi)(4)
32/3 pi
Now we will find he area of the two circles: (pi · R^2)
(pi)((4/3)^2)
16/9 pi
To get the area of both of the corcles, we can just multiply that by 2. So, 32/9 pi.
Now, we just add 32/3 pi and 32/9 pi. In order to do this, we need common denominators. When you get them and add the two numbers, you get 128/9 pi