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2007 AMC 12B Question 19

AMC12 · 2007 AMC 12B

Question 19

Rhombus $ABCD,$ with side length $6,$ is rolled to form a cylinder of volume $6$ by taping $\overline{AB}$ to $\overline{DC}.$ What is $\sin(\angle ABC)?$
  1. $\dfrac{\pi}{9}$
  2. $\dfrac{1}{2}$
  3. $\dfrac{\pi}{6}$
  4. $\dfrac{\pi}{4}$
  5. $\dfrac{\sqrt{3}}{2}$