Y$=3$x$^2$

a$)$ Find the area bounded by the blue curve, $y=1,$ and the $y-$axis.

b$)$ Find the area bounded by the blue curve, $x=1,x=2,$ and the $x-$axis.

c$)$ Revolve the area in part a$)$ around the $x-$axis and find the volume.

d$)$ Revolve the area in part a$)$ around the $y-$axis and find the volume.