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 \(\sin\left(\angle BAD \right)? \)
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