I need help plotting the volume of revolution generated by the curves x=0 and x=(2*y^3)-y^4 around the y=-2 axis. I tried using parametric equations, x(t)= (2*t^3)-t^4 and y(t)=t for t between 0..2, and the VolumeofRevolution command with StudentCalculus 1. To be more precise, I used:
VolumeOfRevolution(2*t^3-t^4,t, t = 0 .. 2, output = plot, axis = horizontal, distancefromaxis = -2);
However, the volume I'm getting is not the one I'm looking for. I've plotted volumes of revolution before but never with equations like x=(2*y^3)-y^4.