How to create a 3D plot of a parametric equation that requires 3 variables?

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I'm try to plot (one nappe of) a cone using the parametric formula (from https://en.wikipedia.org/wiki/Cone#Eq...) :

where s , t , u range over [ 0 , θ ), [ 0 , 2 π ) , and [ 0 , h ], respectively.

I tried:

parametric_plot3d((u*tan(s)*cos(t),u*tan(s)*sin(t),u),(u,0,20),(s,0,60*(pi/180)),(t,0,2*pi) )

but it took the third range as plot_points.

Then I tried:

parametric_plot3d((u*tan(t/6)*cos(t),u*tan(t/6)*sin(t),u),(u,0,20),(t,0,2*pi) )

attempting to let t do double duty as s also. It plots, but produces:

Which is pretty, but no cigar.

How can I achieve my goal?

Update: I found another formulation of the equation on the web and tried:

parametric_plot3d( ( sin(x*arctan(y/x))*sin(y*arctan(y/x)), sin(x*arctan(y/x))*cos(y*arctan(y/x)), sin(x*arctan(y/x)) ), (x,-pi,pi), (y,-pi,pi) )

And got:

Ditto on the absence of stoggies.