Find the volume of the object, defined by these inequalities(?): x^2+y^2+z^2≤4, (x-1)^2+y^2≥1, (x+1)^2+y^2≥1
The Attempt at a Solution
First we draw the object, and realize that it's a sphere with 2 circles in it with radius 1 at (-1,0) and (1,0). Our object is defined outside these circles, so I imagine we could consider the square with 2 cylinders drilled out. If we can find the volume of one of these cylinders from 0 to z we are done. (Vsphere-4*Vcylinder)
Is this the way to go or do we have other solutions? This one doesn't give me right answer...