Hey guys this problem has me stumped.
The region bounded by
,
, and
is revolved about the x-axis.
(a) Find the value of x in the interval [0,4] that divides the solid into two parts of equal volume.
(b) Find the values of x in the interval [0,4] that divide the solid into three parts of equal volume.
I suspect the easiest way would be to use the disk method; however, I'm not sure how to get an x value that would result in 2 or 3 parts of equal volume. I can guess and check for two, but there has to be an easier way.
Thanks