A water bottle has a label that is 3.5 inches high. If the bottle has a radius of 2 inches, how much paper would be needed to put labels on one dozen water bottles?

527.52 in2 of paper.

Step-by-step explanation:

The area of the water bottle label can be calculated by the product of its circunference length and its height.

The length of its circunference is calculated as:

C = 2 * pi * r

C = 2 * 3.14 * 2 = 12.56 inches

Now, to find the area of the label, we just multiply the length by the height:

Area = C * h = 12.56 * 3.5 = 43.96 in2

As we want to know the amount of paper for 12 water bottles, we multiply the area of one label by 12:

Total Paper = 12 * 43.96 = 527.52 in2

It will be needed 527.52 in2 of paper.