Is the universe spherical in shape and are galaxies uniformly distributed within this sphere?
Other answers here give you a good idea, but I think you are imagining the big bang as an explosion in space when it was an explosion of space. When you say spherical do you imagine a surface expanding into something else because that is not what the universe is. The expansion is everywhere and all points can claim to be at the “universe’s geographic centre” because they all see every galaxy rushing away from them and the more distant the galaxy the faster it is rushing away. The galaxies are not uniformly distributed but lie in filaments which extend over hundreds of millions of light years. To visualise the expansion imagine a 2D universe on the surface of a sphere, place dots to represent galaxies (in our 2D universe the is no 3rd dimension) so you could set off walking in a straight line and return to your starting point. In this sense the 2D universe is closed and unbounded. Now expand the sphere so that the surface grows larger. The dots move apart but haven’t actually moved on t
