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

question 56

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) \(V=3,326.40 \pi\)

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