How to plot a cylinder from a specified axis

I am trying to plot a cylinder, but the cylinder is starting from the default (0,0,0) axis.

Assuming the default axis is axis([0 50 0 50 0 120]), I will like the center of the cylinder to start from (25,25,0).

I plan to plot other points inside the cylinder using plot3. I basically want to show the trajectory of an object inside the cylinder.

My current code is shown below.

r = 20;
[X,Y,Z] = cylinder(r);
h = 80;
Z = Z*h;
figure(100)

s = surf(X,Y,Z,'FaceColor','#80B3FF', 'EdgeColor','none');
 alpha(s,.2)

  %axis([0 50 0 50 0 120])

Answer 1

[William Rose]

@Telema Harry,

r = 20;
p0=[25,25,0];  %base location
[X,Y,Z] = cylinder(r);
h = 80;
Z = Z*h;
X=X+p0(1); Y=Y+p0(2); Z=Z+p0(3);  %translate cylinder to new location
figure(100)
s = surf(X,Y,Z,'FaceColor','#80B3FF', 'EdgeColor','none');
alpha(s,.2)
axis equal  %show proportions correctly

Try it. Good luck.