  We prove a quantitative reverse isoperimetric inequality for embedded
surfaces with Willmore energy bounded away from $8\pi$. We use this result to
analyze the negative $L^2$ gradient flow of the Willmore energy plus a positive
multiple of the inclosed volume. We show that initial surfaces of Willmore
energy less than $8\pi$ with positive inclosed volume converge to a round point
in finite or infinite time.
