No, but the centre of gravity need not be inside the object.
Not unless Gravity is not a variable. But it is not possible for an object to not have a center of mass.
It is always different depending on the object. For example a female humans' center of gravity is in the hip. as a male humans' center of gravity is in the chest. But once you have found the center of gravity in an object the center of gravity should be the same in every object like it.
No, objects cannot have more than one center of gravity. The center of gravity of an object can however change.
No. The center is the center.
If the object is homogeneous, its center of mass is in its geometrical center. And if it is small compared to Earth, its center of gravity is, for all practical purposes, its center of mass.
The only factor that affects the center of gravity is how the mass of an object is distributed.
The center of gravity of an object is one factor in determining the stability of the object. The lower the center of gravity, the more stable the object. Other factors must be used for the prediction such as the shape of the base and overall structure.
You can use plumb lines to find the center of gravity of an object.
One tangible characteristic is that, if an object's center of gravity, projected downward, is inside the base where the object touches the ground, the object won't fall over.Another one is that, the higher the center of gravity of an object, the easier it is to push such an object over. For example, this may be relevant for cars on a road.
That depends entirely on the shape of the object.
Gravity pulls objects towards the center of the Earth.
the centre of the sphere.
gravity