Finding volume using triple integral

  • Thread starter woogirl14
  • Start date
  • #1
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1. 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
z^2 + y^2 =1


3. 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].
 

Answers and Replies

  • #2
31
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i think u mean dxdydz

u need to first evaluate the h(x,y) = [tex]\int[/tex] dz f(x,y,z)

between the limits on z (which may depend on x and y ).
2. Evaluate the function g(x) given by
g(x) = [tex]\int[/tex]dyh(x, y),
between the limits on y (which may depend on x ).
3. Finally integrate g(x) over x between the limits on x.
 

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