  We show some area estimates for stable CMC hypersurfaces immersed in
Riemannian manifolds with scalar and sectional curvature bounded from below. In
particular, we focus on immersions in three-dimensional Riemannian manifolds.
As an application, we derive some upper estimates for the bottom spectrum of
these hypersurfaces. This paper generalizes and builds on the techniques
developed by Munteanu, Sung and Wang for stable minimal surfaces.
