  We prove Strichartz estimates for the semigroups associated to stratified
and/or rotating inviscid geophysical fluids using Fourier restriction theory.
We prove new results for rotating stratified fluids, and recover results from
[16] for rotation only, and from [17] for stratification only. Our restriction
estimates are obtained by the slicing method [20], which relies on the
well-known Tomas-Stein theorem for 2-dimensional spheres. To our knowledge,
such a method has never been used in this setting. Moreover, when the fluid is
stratified, our approach yields sharp estimates, showing that the slicing
method captures all the available curvature of the surfaces of interest.
