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

Question

Mathematics

Richard Caldwell

30 March, 13:42

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

+1

Answers (1)

Know the Answer?

Davin Moses · 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.