Traditional methods for calculating lateral pressures in silos, such as Janssen's Method and Coulomb's Method, have limitations due to the underlying assumptions of each methodology. This research investigates an approach which adapts Coulomb's Method to account for the cylindrical geometry of silos. The Silo Wedge Method (SWM) distinguishes between two cases based on the aspect ratio (height/diameter) of the silo. Comparative analysis reveals that the SWM accurately matches Coulomb's Method for linear retaining walls when the silo aspect ratio approaches zero. As the aspect ratio increases above 0.25, the SWM exhibits behavior similar to Janssen's Method. This suggests a potential connection between these two classical methods across different silo geometries. The SWM consistently predicts lower lateral pressures when compared to established methods, primarily due to volumetric differences between the silo failure wedge and linear failure wedge assumptions. Key factors influencing these lower predictions, including potential earth pressure states, lateral pressure coefficients, and silo wall deformations, are suggested for further investigation. If validated through physical testing and advanced numerical modeling, the SWM could enable more accurate lateral pressure predictions, leading to material savings, cost reductions, and a lower carbon footprint in silo design and construction, while maintaining structural safety. This research contributes to a comprehensive understanding of lateral pressure calculations across different silo geometries and retaining structures.