Question

Suppose the centres of two unit spheres are located 1 unit apart. (a) Express the volume...

Suppose the centres of two unit spheres are located 1 unit apart.

(a) Express the volume of the intersection of the two spheres as an integral in any one of rectangular, cylindrical, or spherical coordinate system (you only have to pick one).

(b) Calculate the volume of the intersection of the two spheres.

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