Pedro's mother is decorating the lateral surface, not the top and bottom.
Thus, we need to find the lateral surface area of the cylinder.
The lateral surface area formula is:

Where
LA is lateral surface area
r is the radius
h is the height
Given,
r = 4.75 inches
h = 6.2 inches
Let's calculate the amount of special paper she needs:

Pedro's mother needs 185.04 square inches of special paper