i know it's a circle, but can you please explain to me why? i thought it makes a weird shape that looks something like this; (). thank you in advance for any help.
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Draw a side view of the intersection and you will be able to see the diameter of the circular plane at the intersection. It is circular because there is symmetry about the axis through the centres of the two spheres.
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The line where the two surfaces intersect is a circle.
The intersecting volume I would call a biconvex lens.
The intersecting volume I would call a biconvex lens.