In mathematics, the term sphere defines only one shape, and every sphere has exactly the same shape. Of course, in the real world spheres are imperfect, so they all actually have different shapes, if only slightly different. On the quantum level, sphere are uncertain (like everything else) so you can't be completely sure what shape they actually have.
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There are different formulae for different solids such as spheres or polyhedra.
differents kinds of sets
kinds of analogy is ........................................................................
Many different kinds means lets say an apple and a orange are not the same but it is DIFFERENT
There are infinitely many spatial figures and it is not possible to give a comprehensive answer. For a partial answer, see the following link. However, the link is concerned only with polyhedra. There are other spatial figures - like spheres and ellipsoid etc.