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Triangle ABC is rotated completely around side BC, sweeping out a solid in space. Find the volume of the solid.
AB = 8, AC = 12, CB = 8

 Jun 7, 2024
 #1
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The resuting  solid will equal the difference  in volumes of the cones formed by the rotation of ADC - the rotation of  ADB   =

 

pi/3 * AD^2  *( DC - DB)  = 

 

pi/3  * 7.94^2 * ( 9 - 1)  ≈  528.15

 

cool cool cool

 Jun 7, 2024
edited by CPhill  Jul 23, 2024

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