Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves $2x+3y=6$ and $(y-1)^2=4-x$ about the line $x=-5?$

A. $\displaystyle \pi \int_{0}^{\,7/2} {\left\{\left[\left(y-1\right)^2\right]^2-\left(8-3y\right)^2\right\}}\,dy$
B. $\displaystyle \pi \int_{-9/4}^{\,4} {\left\{\left[9-\left(y-1\right)^2\right]^2-\left(8-\frac{3}{2}y\right)^2\right\}}\,dy$
C. $\displaystyle \pi \int_{0}^{\,7/2} {\left\{\left[9-\left(y-1\right)^2\right]^2-\left(8-\frac{3}{2}y\right)^2\right\}}\,dy$
D. $\displaystyle \pi \int_{-9/4}^{\,4} {\left\{\left(8-\frac{3}{2}y\right)^2-\left[9-\left(y-1\right)^2\right]^2\right\}}\,dy$
E. $\displaystyle \pi \int_{-9/4}^{\,4} {\left\{\left[\left(y-1\right)^2\right]^2-\left(8-3y\right)^2\right\}}\,dy$
F. $\displaystyle \pi \int_{0}^{\,7/2} {\left\{\left(8-\frac{3}{2}y\right)^2-\left[9-\left(y-1\right)^2\right]^2\right\}}\,dy$