function that graph an elipsoid and cone

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Hi, i need to create a graphing function thath create a cone and an elipsoid. The inputs need to be a,b and c values that define the canonical equation of a surface .... z/c= (x^2/a^2)+(y^2/b^2), but I do not know how to transform the Cartesian coordinates to cylindrical or spherical according to the figure.

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