I planned out the dimensions to avoid making similar volumes. The circumference of the sphere is around 1/3 of the base of the cone. The height of the cone is 1/3 < x< 1/2 to the diameter of the cylinder.
The diameter of the cylinder is 1/3 < x< 1/2 to the sphere. The diameter of the sphere is 1/3 < x< 1/2 to the cone and the heights are all also 1/3 < x< 1/2.
Although the proportions were approved, I can’t help feeling that the cylinder and cone are fighting for dominance. Perhaps I should lengthen the cylinder more.