Advanced Placement (AP) High School

A company makes paper labels for paint cans. As shown below, each can is in the shape of a cylinder with a height of 9in and a diameter of 8in. The paper label is wrapped around the can and covers only the side of the can (not the top or bottom). If the company makes 15 labels, how many square inches of paper will be needed? Use 3.14 for π, and do not round your answer.

A Company Makes Paper Labels For Paint Cans. As Shown Below, Each Can Is In The Shape Of A Cylinder With

Answers

Answer 1

Answer:

Answer: 4,772.8 cm2

Explanation:

Answer 2

The company will need 3,583.2 square inches of paper to make 15 labels.

What is cylinder?

Traditionally, a cylinder was a three-dimensional solid, one of the most fundamental curvilinear geometric shapes. It is a prism with a circle as its base in elementary geometry.

The formula for circumference is:

Circumference = π × diameter

Circumference = 3.14 × 8in

Circumference = 25.12in

So the label will need to be 25.12 inches long.

The height of the label will be the same as the height of the can, which is 9 inches.

To find the total area of the paper needed for 15 labels, we need to multiply the length of each label by its height and then multiply that by the number of labels:

Total area = length × height × number of labels

Total area = 25.12in × 9in × 15

Total area = 3,583.2 square inches

Thus, the answer is 3,583.2 square inches.

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