Parametrization of surface

If you have a parametrization of the surface of revolution generated by revolving the function $y=x^3$, and $1\leq x\leq 2$ around the $x$-axis such that
$x=t$
$y=r(t)cos(\theta)$
$z=r(t)sin(\theta)$

How do you find $r(t)$ ?