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A sphere of radius $10$ inches is inscribed in a cone with a base of radius $15$ inches. In cubic inches, what is the volume of the cone?

 Mar 10, 2021
 #1
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V = 2700 cubic inches

 Mar 11, 2021
 #2
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Explain?

Guest Mar 11, 2021
 #3
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BO = 10          BC = 15

∠ACB = 2(arctan(10/15))

AB = tan(∠ACB) * 15

V = 1/3((BC)2pi * AB)

Guest Mar 11, 2021

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