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Homework Help: Volume of a square using cross section

  1. May 23, 2012 #1
    1. The problem statement, all variables and given/known data
    What is the volume if the area bounded by y=x^2 and y=9 and the cross sections are perpendicular to the y axis

    2. Relevant equations

    3. The attempt at a solution
    I have no idea
  2. jcsd
  3. May 23, 2012 #2


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    Gold Member

    At least draw the graph and make an attempt. Take a picture of it or scan it or just draw it in some picture editor and attach it to your post.
  4. May 23, 2012 #3
    I drew the picture and y=9 is the higher graph and y=x^2 is the lower graph. So from there do you do (9-x^2)^2 and take the integral from -3 to 3 ?
  5. May 23, 2012 #4
    The cross sections are perpendicular to the y-axis, not parallel. So the integral will be with respect to y, not x.
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