Begin with a unit cube and inscribe a sphere in it. Then inscribe 8 small spheres in the empty corners so that each of them is tangent to the sides of the cube and also tangent to the large central sphere. Find the volume of the region enclosed by the cube but outside the 9 spheres.

(In reply to soln by Steven Lord)

Well done, sir.

Posted by hoodat on 2025-01-24 18:09:44