The label on a tomato juice can wraps around the outside of the can but does not cover the top or bottom. Each can has a height of 8 inches and a diameter of 5 inches. A case of tomato juice contains 12 cans.
The formula for the surface area of a cylinder is SA=2πrh + 2πr².
a. The label wraps around the can, but when unwrapped is in the shape of a rectangle.
b. To find out how much paper would be needed for the labels in a case of tomato soup, 2πrh would be multiplied by 12.
c. The area of the tomato juice can label can be found by plugging in 2.5 for r and 8 for h in the formula.
d. The area of the rectangular label is 40 inches².
e. In this situation we would disregard the 2πr² in the formula because it represents the bases of the cylinder and the label does not cover the bases.
