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Find the volume of the solid

  1. May 27, 2010 #1
    Find the volume of the solid obtained by rotating the region bounded by the given curves about the line y=1.

    y = [tex]\sqrt[4]{x}[/tex] , y = x


    I couldn't figure out if a should subtract one from x or from y = [tex]\sqrt[4]{x}[/tex]. I don't know if I'm doing this right I tried subtracting it from x and got a negative area.



    I also used this formula:
    [tex]\pi[/tex][tex]\int[/tex]r^2 h
     
  2. jcsd
  3. May 27, 2010 #2

    Mark44

    Staff: Mentor

    Re: Volume

    This formula is to be used when your typical volume element is a circular disk of radius r and thickness h. It is not at all applicable in this problem. Have you drawn a sketch of the region bounded by the two curves? Have you drawn a sketch of the solid generated when the region is rotated around the line y = 1? These sketches are necessary in helping you understand how to set up your integral. In this problem there are two approaches: cylindrical shells or circular washers.
     
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