import math class Sphere: def __init__(self, radius, center): self.radius = radius self.center = center # specify class for the input parameters def caseSpheresBOnAFace(rA, rB): #intersection: rAsq = rA**2 rBsq = rB**2 crownHeightA = rBsq / (2 * rA) crownHeightB = rB - crownHeightA crownVolumeA = math.pi * crownHeightA**2 * (3 * rA - crownHeightA) / 3 crownVolumeB = math.pi * crownHeightB**2 * (3 * rB - crownHeightB) / 3 volumeInter = crownVolumeA + crownVolumeB #union: volumeA = 4/3 * math.pi * rAsq * rA volumeB = 4/3 * math.pi * rBsq * rB volumeUnion = volumeA + volumeB - volumeInter #difference: volumeDiff = volumeA - volumeInter return volumeInter, volumeUnion, volumeDiff if __name__=="__main__": volumeInter, volumeUnion, volumeDiff = caseSpheresBOnAFace(800000, 1000) print("volumeInter = ", volumeInter) print("volumeUnion = ", volumeUnion) print("volumeDiff = ", volumeDiff)