Question

A peanut manufacturing company pays $0.02 per square inch of label used on its cylindrical peanut 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?
A. $3,000
B. $11,250
C. $52,988
D. $70,650

Answer 1

The lateral area of a cylinder is the product of the circumference of the base and the height.
                                     LA = 2πrh
Substituting for the 150,000 containers,
                 150,000 LA = (150,000)(2)(π)(1.5 in) x (2.5 in)
                                    = 3532500 in²
Multiplying with the cost,
                              ($0.02 / in²)(3532500 in²) = $70650
Thus, the answer is letter D.