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 enclosed by a cone and a plane

  1. Apr 20, 2014 #1
    1. The problem statement, all variables and given/known data
    Find the volume enclosed by the cone x[itex]^{2}[/itex]+y[itex]^{2}[/itex]=z[itex]^{2}[/itex]
    and the plane 2z-y-2=0.

    2. Relevant equations
    [itex]\int\int\int[/itex] dV

    3. The attempt at a solution
    In the image Cono=Cone and Plano=Plane

  2. jcsd
  3. Apr 20, 2014 #2


    Staff: Mentor

    Problems about integration should be posted in the Calculus & Beyond section, not in the Precalculus section. I have moved your post.
  4. Apr 21, 2014 #3
    I have tried to solve it in a different way but I do not think it is much better. Can anybody help me?

  5. Apr 21, 2014 #4


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    For what it's worth, I don't see anything obviously wrong with your work. I entered the ##r,\theta## integral you get into Maple and it just hung trying to solve it. I doubt you are going to find an elementary solution.
  6. Apr 21, 2014 #5
    So my first attempt is OK? Because I'm finding troubles with the absolute value of (y) and (-y). I'm not sure if everything I've put is correct.
  7. Apr 21, 2014 #6


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    I didn't check your rectangular coordinate version. The ##r,\theta## change of variables you used would be the natural way to set it up and that's all I looked at.
  8. Apr 21, 2014 #7
    If you do not mind could you please take a look at my rectangular coordinate version?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted