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no. bubbles can only be made into sphere shapes.only a trick can make a bubble into a different shape
A sphere's height will always be the same as its diameter.
Treat the 3D sphere as a 2D circle. The radius for the sphere is the same radius as for the circle. No matter where on the sphere you place a mark, the distance (radius) from the mark to the centre of the sphere will always be the same as the circle.
We're having a hard time making out the dark grey area from here. But the intersection of a plane and a sphere is always a circle.
No, it rarely is.