The problem is to find the volume formed by rotating the region enclosed by:

x=3.4y and y^3=x with y ≥ 0 about the y-axis

I tried changing the equations to y=x/3.4 and y=x^(1/3) which intersect at x=6.269, so i used that for the upper limit of the intergral which looked like:

2pi * Intergral (x(x^(1/3) - x/3.4))dx with defining limits [0,6.269]

Sorry I don't have a good math writer. Anyway, after intergrating i ended up with an answer of 29.30141 which i checked with an online applet to be wrong, but i can't find what i did wrong. Is everything i did up to the intergral right?