Find the volume of the solid generated by revolving the given region about the given axis,
The region between the parabolas y=xᶾ and x=y² ; about either the x-axis or the y-axis

Question

Find the volume of the solid generated by revolving the given region about the given axis,
  The region between the parabolas y=xᶾ and x=y² ; about either the x-axis or the y-axis

terenzreignz · Answer

It helps to have a picture of what's happening here... especially since it doesn't give you any bounds...

sirm3d · Answer

i agree.

zehanz · Answer

Here is that picture, showing the region:

sirm3d · Answer

between the parabolas...
@Zehanz your first image is the correct graph

zehanz · Answer

@sirm3d: OK, I thought I read y=x², but it was x³, although it also said "parabolas".
It's more symmetric now, and it doesn't matter if we are rotating around the x-axis or the y-axis!
I'll delete the second graph, to avoid further confusion :)