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# Consider rhombus ABCD with side length 6:

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Consider rhombus ABCD with side length 6:

This is rolled to form a cylinder of volume 27/2 by taping AD to BC:

What is $$\sin\left(\angle BAD \right)?$$

Jul 17, 2021

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The circumference of the cylinder's base is 6 units.

Volume = r2pi*h

h = (27/2) / r2pi

sin(∠BAD) = h / 6

Jul 17, 2021