Landforms associated to stratovolcanoes on Earth produced by the consecutive eruption episodes provide a history of the erupted material and magmatic compositions. Due to the natural shape formed by the piling up of the erupted material, it provides an opportunity to explore the flow conditions and physical parameters associated to the eruptive episodes of the particular volcano. In addition, with the availability of topography of volcanoes across different planetary bodies and the estimated physical parameters, it has been a great prospect to explore the landform evolution processes for the terrestrial bodies. Although previous studies have used the similarity of the lava flow to groundwater flow and validation of Darcy’s law along with Dupuit’s approximation in exploring the seamounts and ideal symmetric volcanoes like Mount Fuji, the outcomes are limited in a broader aspect to the sub-aerial volcanoes across different tectonic settings. In this study, we have further extended the approximation to provide a theoretical solution for modelling the 2D geometric shape of volcanoes in the terrestrial bodies and determining the role of different physical parameters (i.e. fluid flow, permeability, viscosity and gravitational acceleration). We have also tried to validate the theoretical model and controlling parameters for the geometrical shape of volcanoes on Earth, Mars and different planetary bodies.