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From a circular piece of paper with radius $BC$, Jeff removes the unshaded sector shown. Using the larger shaded sector, he joins edge $BC$ to edge $BA$ (without overlap) to form a cone of radius 12 centimeters and of volume $432\pi$ cubic centimeters. What is the number of degrees in the measure of angle $ABC$ of the sector that is not used?

 Jun 11, 2018
 #1
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Can you provide a diagram plz.

 Jun 11, 2018
 #2
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Do not post AoPS questions here. Use the message boards for help!

 Jun 19, 2018

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