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Volume of Solid

  1. Sep 23, 2009 #1
    1. The problem statement, all variables and given/known data

    Find the volume of the solid formed by rotating the region enclosed by the following equations about the Y-AXIS.

    y= e^(3x)+5
    y=0
    x=0
    x= 1/2

    2. Relevant equations



    3. The attempt at a solution

    I keep getting the answer wrong. I broke the problem into two parts: solved a cylinder(disk) from y= 0 to 5 and solved a washer from y=5 to e^(3/2)+5

    My answer was (1.25pi) (for cylinder or disk) + (.49811372pi) (for washer)
     
    Last edited: Sep 23, 2009
  2. jcsd
  3. Sep 23, 2009 #2

    LCKurtz

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    Where's your work? For the cylinder wouldn't x go from 0 to 1/2?
     
  4. Sep 23, 2009 #3
    you're rotating around the y not x
     
  5. Sep 23, 2009 #4

    LCKurtz

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    Yes, so the cylinder elements are parallel to the y axis, sometimes called "dx elements". Your natural variable for that is x.

    Maybe I misunderstand your terminology. Is what you call a cylinder what some texts call a shell?
     
    Last edited: Sep 23, 2009
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