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Determine the Volume of the solid ?

  1. Jun 7, 2009 #1
    1. The problem statement, all variables and given/known data

    determine the volume of the solid S which is bounded above by the surface z=10-x^2 and below by the z=Y^2+1;


    2. Relevant equations



    3. The attempt at a solution

    what i did was first i tried to find the intersecting points of two surfaces .So i equal two functions and i got x^2+y^2=9 which is a circle center (0,0) and radius 3.then i used polar coordinates to evaluate this .

    (r goes from 0 to 3 and theta goes from 0 to 2*pi )integrate (9-x^2-y^2)drd@.

    am i correct ??or have i mad any kind of error?please explain????
     
  2. jcsd
  3. Jun 7, 2009 #2
    Usually you have the function (of course that needs to be in polar coordinates) not only with dr dtheta, but r dr dtheta, so from what you have done the integral is the function 9r - r^3 with respect to r and then theta. Someone should confirm that though since I haven't looked at this in a while.
     
  4. Jun 7, 2009 #3
    ah yr i forgot it thnaks !!!!!!but am i right up to that point ?????about setting the limits of the integral and other process ?
     
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