First you will need to split the object into three 2D figures, two circles and a rectangle. Then you will calculate the area of each of these and add them all together.
Circles:
a = πr^2
a = π(1.5)^2
a = 7.065
Then find the area of the rectangle.
a = lw where l is length and w is width.
since this is a cylinder, the circumference of the top will be the length.
c = 2πr
c = 2π(1.5)
c = 9.42
a = lw
a = 9.42 x 4.5
a = 42.39
Now add everything up and remember that there are two circles, at the top AND bottom.
7.065(2) + 42.39 = 56.52
The answer is 56.53 inches.