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Is their a linear relationship between the height and volume of a cylinder

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Yes, there exists a linear relationship between the height and the volume.
What is a linear relationship?
A linear relationship is a relationship between the variables in a linear fashion. The relations ships can positive, negative, and neutral. Volume is a scalar quantity that is expressed in three-dimensional space.
Example of volume for the area of a circle is times the height. If we divide the volume of a cylinder by the amount of R it can be squared and multiplied by pi, to find its height.
Find out more information about the volume.
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