Calculate UV sphere vertices (altitude)

Question

There is an fantastic answer by DMGregory here where he explains how to calculate and generate the vertices of an UV Sphere: OpenGL calculate UV sphere vertices

Based on his code, how can we change the "altitude" of each individual vertex?

To create something like this:

Answer 1

As DMGregory said, I just had to vary the radius variable.

// You simply have to multiply radius by any kind of random value
// I'm using perlin noise in this example
positions[v] = vec3(
                  c * cos(theta),
                  sin(phi),
                  c * sin(theta)
               ) * radius * noiseValue(latitude, longitude)