Change in height and circumference
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depends on the shape... if its a sphere or a prism or what. You'll get different answers because they have different surface area to volume ratios. Sphere will give you the biggest volume for a given surface area.
No solid figure has a surface area equal to its volume. That would not be possible as the units of measure are different.
To obtain the ratio of surface area to volume, divide the surface area by the volume.
yes.
Area is of a flat surface whereas volume is of a three dimensional shape.