ANSWER
102.1 square inches
EXPLANATION
The can's label covers the entire lateral surface of the can.
The area (in square inches) covered by the label of the surface can be gotten by finding the lateral surface area of the can.
That is:
[tex]\begin{gathered} L\text{. S. A = 2 }\cdot\text{ }\pi\cdot\text{ r }\cdot\text{ h} \\ \text{where r = radius} \\ h\text{ = height} \end{gathered}[/tex]Since radius is half of the diameter, we have that:
r = D / 2
r = 5 / 2
r = 2.5 inches
Therefore:
[tex]\begin{gathered} LSA\text{ = 2 }\cdot\text{ }\pi\cdot\text{ 2.5 }\cdot\text{ 6.5} \\ \text{LSA = 102.1 square inches} \end{gathered}[/tex]That is the area covered by the label.
