Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves $y=\tan^3(x),$ $y=1$, and $x=0$ about the line $y=1?$

A. $\displaystyle \pi \int_{0}^{\,\pi/4} {\tan^5(x)}\,dx$
B. $\displaystyle \pi \int_{0}^{\,1} {(1-\tan^3(x))^2}\,dx$
C. $\displaystyle \pi \int_{0}^{\,\pi/4} {(1-\tan^3(x))^2}\,dx$
D. $\displaystyle \pi \int_{0}^{\,1} {(\tan^3(x))^2}\,dx$
E. $\displaystyle \pi \int_{0}^{\,1} {\tan^5(x)}\,dx$
F. $\displaystyle \pi \int_{0}^{\,\pi/4} {(\tan^3(x))^2}\,dx$