Finding volume using triple integral

  • Thread starter woogirl14
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Homework Statement



I need to find the volume of a solid formed by the following equations:
x^2+y^2 > 1
x^2+z^2 = 1
x^2 + y^2 =1


The Attempt at a Solution



I know that it is a triple integral and the integrand is 1.
I also know that I need to use dzrdrd[tex]\theta[/tex].

I believe that you need two integrals, one with z going from 0 to sqrt (1-costheta^2) and the other with z going from 0 to sqrt (1-sintheta^2). I only want to find the volume in the first quadrant then I will multiply by 8.
 
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Answers and Replies

  • #2
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Have you been told you need to use [tex]dz rd rd\theta[/tex] ?

If so then rethink you co-ordinate system when integrating, and look at your functions and see if you can convert them into any other coordinate system you know of
 

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