Results 1 to 3 of 3

Math Help - triple integrals

  1. #1
    Junior Member
    Joined
    Oct 2008
    Posts
    57

    triple integrals

    Calculate the mass of a spherical bead of radius 3, centered at the origin, if the density of the material it is made of, is given by the function: p(x,y,z)=|z|
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,201
    Thanks
    1789
    Quote Originally Posted by sonia1 View Post
    Calculate the mass of a spherical bead of radius 3, centered at the origin, if the density of the material it is made of, is given by the function: p(x,y,z)=|z|
    That is, of course, \int\int\int_R |z| dV, where R is the sphere of radius 3. If you use spherical coordinates, z= \rho cos(\phi). You will want to use that for 0\le \phi\le \pi/2 and -\rho cos(\phi) for \pi/2\le \phi\le \pi/3.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Oct 2008
    Posts
    57
    oh sorry it's meant to be 2|z|..but i still don't understand the bit -pcos(phi)

    so what would we integrate in terms of sperical coordinates
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Triple integrals
    Posted in the Calculus Forum
    Replies: 2
    Last Post: July 6th 2011, 02:53 PM
  2. Triple Integrals
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 26th 2010, 03:29 AM
  3. Triple Integrals
    Posted in the Calculus Forum
    Replies: 8
    Last Post: March 26th 2010, 08:15 PM
  4. Triple integrals
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 21st 2009, 11:26 AM
  5. Triple Integrals
    Posted in the Calculus Forum
    Replies: 0
    Last Post: October 31st 2009, 09:42 AM

Search Tags


/mathhelpforum @mathhelpforum