Question 876490
y=0, 2x=12, x=6.
x=0, 3y=12, y=4.
Axis intercept points are (6,0) and (0,4).


Rotating according to the description around x axis, cone radius is 4, h=6, and volume of the cone, {{{v=(1/3)h*pi*r^2}}},:
{{{v=(1/3)6pi*4^2]
{{{2pi*16}}}
{{{highlight(32pi)}}}.