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 of a Solid using Triple Integrals

  1. Nov 19, 2009 #1
    1. The problem statement, all variables and given/known data

    Use a triple integral to find the volume of the solid enclosed by the cylinder z=y2 and the planes x=0, x=6, and z=16. Set up the integral in rectangular coordinates and work it out in any coordinates.

    2. Relevant equations

    3. The attempt at a solution

    I set up the triple integral using these orders of integration:

    D = { (x,y,z) | 0 < x < 6, -4 < y < 4, y2 < z < 16 }

    And I obtained an answer of 512. I just wanted to make sure that I did all the work correctly, and that someone more experienced could say if it is correct.
    Thank you!
  2. jcsd
  3. Nov 19, 2009 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Your limits look good so if you didn't make any arithmetic mistakes it should be correct.
  4. Nov 19, 2009 #3
    Thank you very much, Mr Kurtz!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook