
Let two spheres of Radii and be located along the xAxis centered at and
, respectively. Not surprisingly, the analysis is very similar to the case of the CircleCircle Intersection.
The equations of the two Spheres are
(1)  
(2) 
(3) 
(4) 
(5) 
(6) 
(7) 
The Volume of the 3D Lens common to the two spheres can be found by adding the two Spherical
Caps. The distances from the Spheres' centers to the bases of the caps are
(8)  
(9) 
(10)  
(11) 
(12) 
(13) 
(14) 
See also Apple, CircleCircle Intersection, Double Bubble, Lens, Sphere
© 19969 Eric W. Weisstein