Question

A company makes paper labels for cans of soup. As shown below, each can us in a shape of a cylinder with a height of 8 cm and a radius of 5 cm. The paper label of wrapped around the dan and covers only the side of the can.( not the top or bottom) If the company makes 19 labels, how many square centimeters of paper will be needed? Use 3.14 for pi, and do not round your answer.

Answer 1

Answer: 4,772.8 cm2

Step-by-step explanation:

Hi, to answer this question we have to calculate measures of the rectangular label:

The width of the label is equal to the height of the can (8 cm), and the length is equal to the perimeter of the top or bottom of the can.

Perimeter of a circle (circumference): 2 π radius

Replacing with the values given:

C = 2 (3.14) 5 = 31.4 cm

So, the area of one label is:

Area of a rectangle: length x width = 31.4 x 8 = 251.2 cm2

Multiplying for the number of labels (19)

251.2 x 19 = 4,772.8 cm2

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