Results 1 to 2 of 2

Thread: The volume of the T

  1. #1
    Member
    Joined
    May 2012
    From
    slovenia
    Posts
    91
    Thanks
    5

    The volume of the T

    Hello, I've got a $\displaystyle T$ region in $\displaystyle \mathbb{R}^3$. I need to find its volume.

    $\displaystyle T = \left\{(x, y, z) \in \mathbb{R}^3; 0 \leq y \leq 4; x^2 \leq z \leq 2 - x\right\}$.

    How to find triple integral here? I know the $\displaystyle f(x, y, z) = 1$, but how to find the appropriate bounds for $\displaystyle x$?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jun 2013
    From
    Lebanon
    Posts
    996
    Thanks
    505

    Re: The volume of the T

    to find the bounds for $x$ set $x^2=2-x$
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: Jan 16th 2015, 09:01 AM
  2. Replies: 2
    Last Post: Nov 18th 2011, 01:08 PM
  3. volume flux, mass flux and volume flo
    Posted in the Advanced Applied Math Forum
    Replies: 2
    Last Post: Jun 7th 2011, 06:30 PM
  4. Replies: 1
    Last Post: May 14th 2010, 04:08 PM
  5. divergence = flux / volume is independant of the limiting volume
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: Apr 26th 2010, 07:31 PM

/mathhelpforum @mathhelpforum