In this work we implement the Finite Element Method and its programming in FEniCS for fluid problems in axisymmetric domains, making a formulation of the Stokes problem in cylindrical symmetry. The implementation of this formulation allows us to present an example with a known solution where we use several polynomial degrees in the finite elements. We then present a coupled Stokes Darcy problem, where we show examples with known solutions and an example application. Finally we present the complete codes in FEnics