Yes.
Change in height and circumference
There is no reason for the surface area to remain the same even if the volume is the same.
It does not change. If the numerator changes then, unless the denominator changes in the same proportion, the fraction is no longer the same.
For the same base dimensions (base area) and the same height, the rectangular prism has more surface area.
Yes. The term "surface area" as normally used for 3-dimensional objects but that does not alter its meaning. The two measures are the same.
It is the numerical value of the radius - usually of a circular shape - multiplied by itself. It has no particular significance in itself and is a proportion of the surface area of the object. What proportion of the area depends on whether the object is a circle or sphere.That is the same as radius x radius.
The surface area of the 'wall' doubles, but the base areas remain the same.
Change in height and circumference
figures with the same volume does not have the same surface area.
It won't. The pressure within a hollow object may change if the surface area changes, hence the volume. The total pressure acting on the exterior of a solid object may change if the total surface area changes.
There is no reason for the surface area to remain the same even if the volume is the same.
False. The surface area formula for a right cone is not the same as the surface area formula for an oblique cone.
When 2 things increase or decrease by the same proportion
The surface must get more spherical. When it reaches a perfect sphere the surface area cannot be reduced without also reducing the volume.
It does not change. If the numerator changes then, unless the denominator changes in the same proportion, the fraction is no longer the same.
Of course they can. The cone would have to be taller or have a wider base than the cylinder, but they could very easily have the same surface area. A cone and a fish can have the same surface area.
When 2 things increase or decrease by the same proportion