Rhombus $ABCD$, with side length 6, is rolled to form a cylinder of volume 6 by taping $\overline{AB}$ to $\overline{DC}$.  What is $\sin\left(\angle ABC\right)$?
Question:
Rhombus $ABCD$, with side length 6, is rolled to form a cylinder of volume 6 by taping $\overline{AB}$ to $\overline{DC}$.  What is $\sin\left(\angle ABC\right)$?
Answer:
Let's think step by step.

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\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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