Using volatile keyword with mutable object

In Java, I understand that volatile keyword provides visibility to variables. The question is, if a variable is a reference to a mutable object, does volatile also provide visibility to the members inside that object?

In the example below, does it work correctly if multiple threads are accessing volatile Mutable m and changing the value?

example

class Mutable {
    private int value;
    public int get()
    {
        return a;
    }
    public int set(int value)
    {
        this.value = value;
    }
}

class Test {
    public volatile Mutable m;
}