We have obtained spectra of the J=2-1 and J=10-9 transitions of
cyanoacetylene (\hc3n) toward a collection of positions in the most prominent
filament, B213, in the Taurus molecular cloud. The analysis of the excitation
conditions of these transitions reveals an average gas H2 volume density of
(1.8±0.7)×104 \cc. Based on column density derived from 2MASS
and this volume density, the line of sight dimension of the high density
portion of B213 is found to be ≃ 0.12 pc, which is comparable to the
smaller projected dimension and much smaller than the elongated dimension of
B213 (∼2.4 pc). B213 is thus likely a true cylinder--like filament rather
than a sheet seen edge-on. The line width and velocity gradient seen in \hc3n
are also consistent with Taurus B213 being a self-gravitating filament in the
early stage of either fragmentation and/or collape.Comment: Accepted for publication by Ap