Results 1 to 4 of 4

Math Help - a double integral question

  1. #1
    Member
    Joined
    Jul 2007
    Posts
    151

    Question a double integral question

    use a double integral in polar coordinates to find the volume of the solid in the first octant bounded above by the surface z=rsin(theta) , below by the xy-plane, and laterally by the plane x=0 and the surface r=3sin(theta).

    Thank you very much.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Eater of Worlds
    galactus's Avatar
    Joined
    Jul 2006
    From
    Chaneysville, PA
    Posts
    3,001
    Thanks
    1
    Hey KittyKat:

    Here is the integral. See if you can do it in rect.

    \int_{0}^{\frac{\pi}{2}}\int_{0}^{3sin{\theta}}r^{  2}sin({\theta})drd{\theta}=9\int_{0}^{\frac{\pi}{2  }}sin^{4}{\theta}d{\theta}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jul 2007
    Posts
    151
    Hi galactus,

    Thanks! I got 27pi/6 . Am I correct?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Eater of Worlds
    galactus's Avatar
    Joined
    Jul 2006
    From
    Chaneysville, PA
    Posts
    3,001
    Thanks
    1
    27pi/16
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Double Integral question
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 6th 2011, 09:39 AM
  2. Double Integral Question
    Posted in the Calculus Forum
    Replies: 5
    Last Post: May 20th 2010, 03:07 AM
  3. Double Integral and Triple Integral question
    Posted in the Calculus Forum
    Replies: 3
    Last Post: February 3rd 2010, 12:47 PM
  4. Double Integral Question
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 11th 2009, 07:47 AM
  5. a double integral question
    Posted in the Calculus Forum
    Replies: 4
    Last Post: August 1st 2007, 01:43 PM

Search Tags


/mathhelpforum @mathhelpforum