Discrete droplet models in which parcels of droplets are tracked in space in a Lagrangian framework have historically dominated the modelling of fuel sprays. These models are computationally expensive, as the chaotic motions of each droplet have to be predicted. A development of a spray model that captures the full polydisperse nature of spray flow without using droplet size classes has been presented in previous publications. In this paper, the model is applied to solid cone diesel sprays. The size information concerning the spray is obtained by calculating three moments of the droplet-size distribution function from transport equations and one moment from a Gamma size distribution function. The predictions from the model are compared with results from experiments, a discrete droplet model, and two moments-based models. These indicate that droplet break-up, collisions, penetration and sizes are successfully modelled.