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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
 #1
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The circumference of the cylinder's base is 6 units.

 

Radius = 1/2(6/pi)

 

Volume = r2pi*h

 

h = (27/2) / r2pi

 

sin(∠BAD) = h / 6

 Jul 17, 2021

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