(See Solution) Set up and evaluate the integral that gives the volume of the solid formed by revolving the region x=-y^2+4y, yin [ 1,4 ] about the
Question: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region \(x=-{{y}^{2}}+4y\), \(y\in \left[ 1,4 \right]\) about the y-axis.
Deliverable: Word Document 
![[See Solution] Find the volume of the](/images/solutions/MC-solution-library-50738.jpg "[See Solution] Find the volume of the solid generated by revolving")
[See Solution] Find the volume of the solid generated by revolving
(Steps Shown) Find the volume of the solid generated by revolving
(All Steps) Find the volume of the solid generated by revolving
![[See Steps] Use the shell method to](/images/solutions/MC-solution-library-50741.jpg "[See Steps] Use the shell method to set up and evaluate the integral")
[See Steps] Use the shell method to set up and evaluate the integral
(Solution Library) Use the shell method to set up and evaluate
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