Consider the blue horizontal line shown above (click on graph for better view) connecting the graphs $x=f(y)=\sin(1 y)$ and $x=g(y)=\cos(4 y)$.
Referring to this blue line, match the statements below about rotating this line with the corresponding statements about the result obtained.

1. The result of rotating the line about the $x$-axis is
2. The result of rotating the line about the $y$-axis is
3. The result of rotating the line about the line $y=1$ is
4. The result of rotating the line about the line $x=-2$ is
5. The result of rotating the line about the line $x=\pi$ is
6. The result of rotating the line about the line $y=-2$ is
7. The result of rotating the line about the line $y=\pi$
8. The result of rotating the line about the line $y=-\pi$

A. an annulus with inner radius $\sin(1 y)$ and outer radius $\cos(4 y)$
B. a cylinder of radius $\pi+y$ and height $\cos(4 y)-\sin(1 y)$
C. a cylinder of radius $\pi-y$ and height $\cos(4 y)-\sin(1 y)$
D. a cylinder of radius $1-y$ and height $\cos(4 y)-\sin(1 y)$
E. an annulus with inner radius $2+\sin(1 y)$ and outer radius $2+\cos(4 y)$
F. a cylinder of radius $2+y$ and height $\cos(4 y)-\sin(1 y)$
G. a cylinder of radius $y$ and height $\cos(4 y)-\sin(1 y)$
H. an annulus with inner radius $\pi-\cos(4 y)$ and outer radius $\pi-\sin(1 y)$ is