how to generate random point inside a sphere

I am trying to generate random points inside a sphere given the radius and the center. If anyone has a sample code or can help me with this, thanks for the help.

Answer 1

[Torsten]

R = 3;    % radius of the sphere
Xc = 4;
Yc = -4;
Zc = pi;  % (Xc,Yc,Zc) center of the sphere
rval = 2*rand(1)-1;
elevation = asin(rval);
azimuth = 2*pi*rand(1);
radius = R*(rand(1))^(1/3);
[x,y,z] = sph2cart(azimuth,elevation,radius);
x=x+Xc
y=y+Yc
z=z+Zc

[Amrita Datta]

I want to like random points inside a sphere

Answer 2

[Najwa Yaminah]

I have an assignment so I try the following code :

function getPoint() {
    var d, x, y, z;
    do {
        x = Math.random() * 2.0 - 1.0;
        y = Math.random() * 2.0 - 1.0;
        z = Math.random() * 2.0 - 1.0;
        d = x*x + y*y + z*z;
    } while(d > 1.0);
    return {x: x, y: y, z: z};
} 

This works well as you can see

[John D'Errico]

Sigh. Of course, you posted this answer as Python code, when MATLAB code was needed.

Answer 3

[Patricia Sperry]

Floow this method for generating the random points on sphere. I have also used this method for doing my work for the project.

Do try this code:

TH = 2*pi*rand(1,1e4);
PH = asin(-1+2*rand(1,1e4));
[X,Y,Z] = sph2cart(TH,PH,1);
plot3(X,Y,Z,'.','markersize',1)
axis equal vis3d

[darova]

I like how it looks like but all points are on sphere surface (not inside)

I think random radius should be added

[DGM]

Considering that I just deleted 8 other junk answers used for spam links, something tells me that these answers were also spam but have since had their links removed. That might explain why they're not relevant to the question.