Question:

The region in the first quadrant bounded by the graphs f(x)=(1/8)(x)^3 and g(x)=2x is rotated about the y-axis. Find the volume of the solid formed.

I know the integral basics.

I think I have to place the y points and I think I am meant to convert the y= into x= so I have a x equation.

This is what I got after integrating etc.

((6144/50)*(pi))-((512/12)*pi)).

This I guess is not right.

Thanks for any help.