How do I make a plane graph completely to it's listed limits using surf without stopping at the intersection with the other surface?

When I graph the plane on its own, it graphs all the way to 0.05, which is what I want. However, when the paraboloid is graphed, the plane stops at the intersection.

RPM = 25;
R = .05;
h0 = .15;

%define constants and change units
omega = RPM*2*pi/60;                    %[rad/s]
g = 9.807;                              %[m/s^2]
r = linspace(0,R);                      %[m]
phi = linspace(0,2*pi);                 %[rad]

%PLOT

[r,phi] = meshgrid(r,phi);
[X,Y] = meshgrid(linspace(0,R),linspace(0,R));
%equation of surface
z = h0 - omega^2/(2*g)*(R^2/2 - r.^2);  %[m]]
plane = h0*ones(100,100);

surf(X,Y,plane);hold on
surf(r.*cos(phi),r.*sin(phi),z);

Answer 1

[KSSV]

RPM = 25;
R = .05;
h0 = .15;
%define constants and change units
omega = RPM*2*pi/60;                    %[rad/s]
g = 9.807;                              %[m/s^2]
r = linspace(0,R);                      %[m]
phi = linspace(0,2*pi);                 %[rad]
%PLOT
[r,phi] = meshgrid(r,phi);
[X,Y] = meshgrid(linspace(-R,R),linspace(-R,R));
%equation of surface
z = h0 - omega^2/(2*g)*(R^2/2 - r.^2);  %[m]]
plane = h0*ones(100,100);
surf(X,Y,plane);hold on
surf(r.*cos(phi),r.*sin(phi),z);

[Jasmine Alvarez]

Thank you so much!