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Algebra

Source: AHSME 1991 problem 8

October 16, 2011
AMC

Problem Statement

Liquid X does not mix with water. Unless obstructed, it spreads out on the surface of water to form a circular film 0.10.1 cm thick. A rectangular box measuring 66 cm by 33 cm by 1212 cm is filled with liquid X. Its contents are poured onto a large body of water. What will be the radius, in centimeters, of the resulting circular film?
<spanclass=′latex−bold′>(A)</span> 216π<spanclass=′latex−bold′>(B)</span> 216π<spanclass=′latex−bold′>(C)</span> 2160π<spanclass=′latex−bold′>(D)</span> 216π<spanclass=′latex−bold′>(E)</span> 2160π <span class='latex-bold'>(A)</span>\ \frac{\sqrt{216}}{\pi}\qquad<span class='latex-bold'>(B)</span>\ \sqrt{\frac{216}{\pi}}\qquad<span class='latex-bold'>(C)</span>\ \sqrt{\frac{2160}{\pi}}\qquad<span class='latex-bold'>(D)</span>\ \frac{216}{\pi}\qquad<span class='latex-bold'>(E)</span>\ \frac{2160}{\pi}
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