Cones
This is the equation of a cone whose axis is the z-axis
> conez:=x^2/a^2+y^2/b^2=z^2/c^2;
Let's check it out for a=1, b=2, c=3
> conez1:=subs({a=1,b=2,c=3},conez);
>
Plot of the cone "conez1"