I have to find the parametrization of the surface which comes from the revolution of the line
$$(0,4+3t,1-3t)$$
about the $z$-axis.
I tried to do
$$\sigma(t,x)=(0\cdot\cos(x),(4+3t)\sin(x),1-3t)$$
with $x\in[0,2\pi]$ but when I try to plot, I don't get a cone. What's wrong?