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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 18 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?

 Aug 1, 2021
 #1
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Diagram?

 Aug 1, 2021
 #2
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Angle ABC = 11.67995821º

 

The radius of a sector = 2√85 cm     (Slant height of a cone)

 

Height of a cone = 4 cm

 Aug 2, 2021
 #3
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1/3(182*pi*h) = 432pi

 

h = 4

Guest Aug 2, 2021

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