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?

Question

1143 views around the world

You can reuse this answer
Creative Commons License

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#