This paper analyzes the performance of Fountain code broadcasting (FCB) and uncoded broadcasting (UB) in cellular networks by deriving closed-form expressions for the system-level coverage probability (SPcov) using a stochastic geometry framework. The analysis captures the impact of network load, defined as the ratio of mobile terminal (MT) to base station (BS) density, along with the path-loss exponent and quality-of-service (QoS) threshold. Results reveal that higher network load and QoS threshold reduce SPcov, whereas a larger path-loss exponent improves it. Monte Carlo simulations validate the framework, showing that FCB consistently outperforms UB and that the analysis remains accurate even for non–fully-loaded scenarios.