Sketch a Graph to Estimate the X-Coordinates of the Points $y=0, y=-x^{4}+6 x^{3}-x^{2}+6 x$

Multiple Choice

Sketch a graph to estimate the x-coordinates of the points of intersection of the given curves. Then use this information to estimate the volume of the solid obtained by rotating about the y axis the region enclosed by these curves. Rounded to the nearest hundredth. $y=0, y=-x^{4}+6 x^{3}-x^{2}+6 x$

A) $V=3,745.96 \pi$
B) $V=3,323.88 \pi$
C) $V=3,331.63 \pi$
D) $V=3,346.96 \pi$
E) $V=3,326.40 \pi$