Answer:
Label: About 527.9 square centimeters
Aluminum: About 835.7 square centimeters
Step-by-step explanation:
Amount of paper needed for the label:
You can imagine taking off the label and unrolling it, forming a rectangle. The height of this rectangle will be the height of the cylinder, while the length of the rectangle will be the circumference of the cylinder. Therefore, the area of that rectangle will be .
Amount of aluminum needed for the can:
This time, you need to add in the top and bottom of the can as well, which each have area . Together, they have area
. Adding this to the area of the sides, you get a total of about 835.7 square centimeters.
Hope this helps!