plot and create the intersection of 2 perpendicular cylinders with different sized in matlab

main.m
% Define the parameters for the two cylinders
radius1 = 1;
height1 = 3;
radius2 = 0.5;
height2 = 2;

% Create the meshes for the two cylinders
[cylinder1_x, cylinder1_y, cylinder1_z] = cylinder(radius1, 100);
cylinder1_z = cylinder1_z * height1;

[cylinder2_x, cylinder2_y, cylinder2_z] = cylinder(radius2, 100);
cylinder2_z = cylinder2_z * height2;

% Rotate one of the cylinders by 90 degrees
theta = pi/2;
rot = [cos(theta) sin(theta) 0; -sin(theta) cos(theta) 0; 0 0 1];
cylinder2_r = rot * [cylinder2_x(:)'; cylinder2_y(:)'; cylinder2_z(:)'];
cylinder2_x = reshape(cylinder2_r(1,:), size(cylinder2_x));
cylinder2_y = reshape(cylinder2_r(2,:), size(cylinder2_y));
cylinder2_z = reshape(cylinder2_r(3,:), size(cylinder2_z));

% Find the intersection of the two cylinders
intersection_z = min(cylinder1_z, cylinder2_z);

% Plot the intersection area
surf(intersection_z);

% Set the view and labels
view(3);
xlabel('X');
ylabel('Y');
zlabel('Z');
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