  We prove that the Podles spheres $S_q^2$ converge in quantum Gromov-Hausdorff
distance to the classical 2-sphere as the deformation parameter $q$ tends to 1.
Moreover, we construct a $q$-deformed analogue of the fuzzy spheres, and prove
that they converge to $S_q^2$ as their linear dimension tends to infinity, thus
providing a quantum counterpart to a classical result of Rieffel.
