Change in height and circumference
It does not change. If the numerator changes then, unless the denominator changes in the same proportion, the fraction is no longer the same.
There is no reason for the surface area to remain the same even if the volume is 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.
When 2 things increase or decrease by the same proportion
It does not change. If the numerator changes then, unless the denominator changes in the same proportion, the fraction is no longer the same.
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.
The surface must get more spherical. When it reaches a perfect sphere the surface area cannot be reduced without also reducing the volume.
When 2 things increase or decrease by the same proportion
Two planets of the same size can have different surface areas due to variations in their topography, such as mountains or valleys. The presence of oceans or atmospheres can also affect surface area. Additionally, geological activity can constantly change the surface area of a planet over time.
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.