  We prove that given a three manifold with an arbitrary metric $(M^3, g)$ of
positive Ricci curvature, there exists a sweepout of $M$ by surfaces of genus
$\leq 3$ and areas bounded by $C vol(M^3, g)^{2/3}$. We use this result to
construct a sweepout of $M$ by 1-cycles of length at most $C vol(M^3,
g)^{1/3}$.
  The sweepout of surfaces is generated from a min-max minimal surface. If
further assuming a positive scalar curvature lower bound, we can get a diameter
upper bound for the min-max surface.
