  We show that the Weyl law for the volume spectrum in a compact Riemannian
manifold conjectured by Gromov can be derived from parametric generalizations
of two famous inequalities: isoperimetric inequality and coarea inequality. We
prove two such generalizations in low dimensions and obtain the Weyl law for
1-cycles in 3-manifolds. We also give a new proof of the Almgren isomorphism
theorem.
