SOLUTION: Help me solve: A line OP with its pivot at the origin rotates about the x-axis maintaining an angle B with the x-axis. calculate volume enclosed by the path of the rotation of t

Algebra ->  Volume -> SOLUTION: Help me solve: A line OP with its pivot at the origin rotates about the x-axis maintaining an angle B with the x-axis. calculate volume enclosed by the path of the rotation of t      Log On


   



Question 1056479: Help me solve:
A line OP with its pivot at the origin rotates about the x-axis maintaining an angle B with the x-axis. calculate volume enclosed by the path of the rotation of the line.
Thank you

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The line would generate a cone about the x-axis.
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So from the diagram,
V=pi%2A%28Hsin%28B%29%29%5E2%2AHcos%28B%29
V=pi%2AH%5E3%2Asin%5E2%28B%29%2Acos%28B%29