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The circle below has a 144 degree central angle cut out and removed. The remaining sector of the circle is formed into a cone by connecting points A and B from the original circle. The radius of the original circle is 10 cm. What is the volume of the new cone? Express your answer in terms of π.

 Jan 22, 2021
 #1
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Original radius 10 cm    now with   (360-144)/360 * (10)  radius of the cone = 6 cm

slant height = 10 cm

cone height =  sqrt(10^2 - 6^2) = 8 cm

cone volume = 1/3  pi r^2 h

                     = 1/3 pi (62)(8) cm3 = .............. cm3

 Jan 22, 2021
 #2
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Good job, Guest! I got the same answer: V = 96π cm3

jugoslav  Jan 22, 2021

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