1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Volume Shell Method

  1. Feb 1, 2013 #1
    1. The problem statement, all variables and given/known data
    use the shell method to find the volumes of the solids generated by revolving the region about the indicated axis.

    2. Relevant equations
    x=18(y^2 - y^3) about line y=8/5.

    3. The attempt at a solution
    2∏∫ (0 to 1) (8/5 - y) (18y^2 - 18y^3)
  2. jcsd
  3. Feb 1, 2013 #2


    User Avatar
    Science Advisor

    This single equation does not define a bounded region. Was there some other line or curve given, such as the y-axis (x= 0)?

  4. Feb 1, 2013 #3
    according to the graph it appears bounded by y-axis. (x=0)
  5. Feb 1, 2013 #4


    Staff: Mentor

    Assuming that the region to be revolved is between one arch of the curve and the y-axis, your setup looks fine, except that you are missing the differential. It might not seem important now, but when you learn more techniques of integration, omitting the differential will be a big problem.

    What do you get for the value of your integral?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook