A peanut company pays $.02 per square inch of label used on its containers. Each container has a radius of 1.5 inches and a height of 2.5 inches. If the label covers the lateral area of the container, how much would it cost to produce 150,000 labels?

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Answer 1 · 2017-11-23T20:20:49

150,000 labels would cost #$70685.834#

The lateral surface area of a cylinder is given by
#2Pir*h#

Substituting in what we know
#2pi*1.5*2.5 = 23.562 square inches#

each label costs
the price per square inch * the area of each label in square inches
Substituting in what we know
#23.562 * $0.02 = $0.47124#

150,000 labels would cost
#150000*$0.47124 = $70685.834#