Find the volume of the solid obtained by rotating the region

  • Thread starter phillyolly
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  • #1
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Homework Statement


Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. About x axis.
1)
y=1-x2
y=0



Homework Equations





The Attempt at a Solution



I sketched a curve and a region. A typical disk and a solid? And please check the solution?
 

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Answers and Replies

  • #2
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Everything looks good. Good job!
 
  • #3
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I drew a little sketch to give you some extra intuition on solids of revolution.

See figure.
 

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  • #4
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That's great, thank you! I will try now to solve both of the problems. Let's see what happens.
 
  • #5
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Hey, where is the solid located on the function?
 

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