  In this paper I present a comparison theorem for the waist of Riemannian
manifolds with positive sectional curvature. The main theorem of this paper
gives a partial positive answer to a conjecture formulated by M.Gromov in [8].
The content of this paper combines two aspects: classical volume comparison
theorems of Riemannian geometry, and geometric measure theoretic ideas stemming
from Almgren-Pitts Min-Max theory
