SOLUTION: The region bounded by y=x-1, x=3, y=1 and x-axis is revolved about y-xis, find the volume generated.

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Question 964278: The region bounded by y=x-1, x=3, y=1 and x-axis is revolved about y-xis, find the volume generated.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A triangle is bounded.
Its area is 0.5 sq units.
Its centroid is (8/3,4/3) --> distance from the y-axis = 8/3
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--> Vol = area*radius of centroid distance*2pi (Theorem of Pappus)
= 0.5*(8/3)*2pi
= 8pi/3 sq units.
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If you want to do it by integration, email via the TY note.