Modern surveys allow us to access to high-quality large-scale structure measurements. In this framework, cosmic voids appear as a new potential probe of Cosmology. We discuss the use of cosmic voids as standard spheres and their capacity to constrain new physics, dark energy and cosmological models. We introduce the Alcock-Paczynski test and illustrate its use with voids. We discuss the main difficulties in treating with cosmic voids: redshift-space distortions and sparsity of data. We present a method to reconstruct the spherical density profiles of void stacks in real space, without redshift-space distortions. We show its application to a toy model and a full dark matter simulation. Finally we present a first application of the algorithm to reconstruct real cosmic void stacks density profiles in real space from the Sloan Digital Sky Survey.