Volcano morphology has been traditionally studied from a descriptive point of view, but in this work we took a different more quantitative perspective. Here we used volcano dimensions such as height and basal radius, together with the topographic profile as indicators of key plumbing system properties. We started by coupling models for the ascent of magma and extrusion of lava flows with those for volcano edifice construction. We modeled volcanic edifices as a pile of lavas that are emitted from a single vent and reduce in volume with time. We then selected a number of arc‐volcano examples to test our physical relationships and estimate parameters, which were compared with independent methods. Our results indicate that large volcanoes (>2,000 m height and base radius >10 km) usually are basaltic systems with overpressured sources located at more than 15 km depth. On the other hand, smaller volcanoes (<2,000 m height and basal radius <10 km) are associated with more evolved systems where the chambers feeding eruptions are located at shallower levels in the crust (<10 km). We find that surface observations on height and basal radius of a volcano and its lavas can give estimates of fundamental properties of the plumbing system, specifically the depth and size of the magma chamber feeding eruptions, as the structure of the magmatic system determines the morphology of the volcanic edifice.