MathDB
1987 AMC 12 #13 - Cardboard Tube

Source:

December 31, 2011
AMC

Problem Statement

A long piece of paper 55 cm wide is made into a roll for cash registers by wrapping it 600600 times around a cardboard tube of diameter 22 cm, forming a roll 1010 cm in diameter. Approximate the length of the paper in meters. (Pretend the paper forms 600600 concentric circles with diameters evenly spaced from 22 cm to 1010 cm.)
<spanclass=latexbold>(A)</span> 36π<spanclass=latexbold>(B)</span> 45π<spanclass=latexbold>(C)</span> 60π<spanclass=latexbold>(D)</span> 72π<spanclass=latexbold>(E)</span> 90π <span class='latex-bold'>(A)</span>\ 36\pi \qquad<span class='latex-bold'>(B)</span>\ 45\pi \qquad<span class='latex-bold'>(C)</span>\ 60\pi \qquad<span class='latex-bold'>(D)</span>\ 72\pi \qquad<span class='latex-bold'>(E)</span>\ 90\pi