To calculate the amount of paper used for the label of the soup can, we first need to determine the surface area of the label. The label is essentially a rectangle that wraps around the circumference of the can, so the surface area of the label can be calculated as:
Surface area of label = height of label x circumference of can
To calculate the circumference of the can, we need to first calculate the radius of the can, which is half of the diameter. So:
Radius of can = diameter of can / 2 = 5 in / 2 = 2.5 in
Circumference of can = 2 x pi x radius of can = 2 x 3.14159 x 2.5 in = 15.70796 in
Assuming the label wraps around the entire circumference of the can, the height of the label would be equal to the height of the can, which is 8 in.
So, the surface area of the label would be:
Surface area of label = 8 in x 15.70796 in = 125.66368 square inches
Therefore, the amount of paper used for the label of the soup can would be 125.66368 square inches.