What is the volume between two intersecting spheres with given equations?

[memish]

Homework Statement

Find the volume of the solid that lies inside both the spheres
x^2+y^2+z^2=4
x^2+y^2+z^2+4x-2y+4z+5=0

Homework Equations

none

The Attempt at a Solution

I completed the square on the 2nd equation to get (x+2)^2 + (y-1)^2 + (z+2)^2 = 4

So I have the two centers (0,0,0) and (-2,1,-2) which are 3 units apart and both have a radius of two. I think I have to take an integral, but I don't know where to go from here. Thanks for any help

 

[Dick]

That's a great start! Now pretend you have two circles of radius 2 with centers on the x-axis that are 3 units apart, say one centered at x=0 and one centered at x=3. Could you find the volume of their intersection revolved around the x-axis? That's the same as the volume you are looking for, isn't it?

 

[memish]

Ohhh ok thank! I got it! )