For example, if the intersectional area between two circles was a square cm. Is it possible to say what the intersectional volume be if those same circles were spheres as a function of a?
To clarify : After solving for the overlap between two circles (see: https://i.imgur.com/uq9SV2d.png), you will know the area of each dome, a = total intersectional area, a1, being the half belonging to circle 1, radius 1, and a2 being the half belonging to circle 2.
Knowing the r1, and a1, how do you find the volume of a1 if the circle was a sphere? Basically like spinning around an arc into a dome.
Sorry, I'm not good at explaining.
r1 = 10cm
a1 = area of the cap (overlapping area/2 if both r1 and r1 are the same) = 4 cm^2
What are the steps to find volume.a1 cm^3 given r1 = 10cm, a1 = 4cm^2? (or any other value for r1). The reason I want to know is I was thinking about the problem when trying to solve an issue with aproximating acceleration due to gravity, when two planets are overlapping the forces for that mass that's overlapping should cancel each other out as far as acceleration of the two planets is concerned.
By the way, how does that "put on hold thing" work? I tried editing the question. Is something supposed to happen?