Rhombus $ABCD$, with side length 6, is rolled to form a cylinder of volume 6 by taping $\overline{AB}$ to $\overline{DC}$.  What is $\sin\left(\angle ABC\right)$?
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<|im_start|>user
Rhombus $ABCD$, with side length 6, is rolled to form a cylinder of volume 6 by taping $\overline{AB}$ to $\overline{DC}$.  What is $\sin\left(\angle ABC\right)$?
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user
\frac{\pi}{9}
Rhombus $ABCD$, with side length 6, is rolled to form a cylinder of volume 6 by taping $\overline{AB}$ to $\overline{DC}$.  What is $\sin\left(\angle ABC\right)$?
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