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?

1 Answer
Nov 23, 2017

150,000 labels would cost $70685.834

Explanation:

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