It may be easiest to visualize this separately for each portion. A "tube" shape has an outer surface, inner surface, and 2 ends (which normally will be the same)
Working in cm
For the specified shape:
Outer: Simply the area of the outsdie of the larger cylinder, not counting the ends.
This is the circumference (c) times the length (l), C = pi*d, so the area is pi*60*300 = pi*18000
Inner: Simply the inner surface of the smaller cylinder: l is the same, and d is 20, so area = pi*20*300 = p*6000
Ends: Here we use the difference between the larger and smaller end areas.
for the larger: A = pi*d2 / 4 = pi*(60)2 / 4 = 900*pi
and the smaller: A = pi*(20)2 / 4 = 100*pi
The are 2 ends so the total end area is 1600*pi
Add it all up: A(total) = pi ( 18,000 + 6,000 + 1,600) = pi* 25,600 = 80424.7719319
to one decimal place: 80424.8