Answer
See image
Work Step by Step
Using geogebra graph:
$\bf z^2=x^2+y^2$
which is a cone along z axis in both directions
now use the formula Curve(x,y,z,parameter,start,end) to input:
$\bf Curve(t cos(t),t sin(t),t,t,-2 π,2 π)$
which gives a cone shaped spiral from $z=-2\pi$ to $z=2\pi$
You can also sketch by hand by noting that as t increases it traces an expanding counter-clockwise spiral that extends upwards at the same rate as it expands radially.
This shows that the parameterized curve $r(t)=$ lies on the cone $z^2=x^2+y^2$.
