Question

Describe the relationship between the two quantities. volume of a cylinder; height

Answer 1

The volume of a  given cylinder is directly proportional to its height.

When determining the volume of a cylinder, we take;

=   Base Area(BA) of the cylinder * Height of the cylinder

This automatically proves that when the BA and Height of a particular cylinder is high, the results of its volume is also high.

From the above statement, it is very correct to state that the Height of a cylinder is directly proportional to the volume of a cylinder.

It is also correct to state that the BA of a cylinder is directly proportional to the volume.

Consider the image of the cylinder attached.

Assuming we were to calculate the volume of water from different heights of the cylinder, for example;

Height1= 15 cm

Height2=10 cm

Radius=9 cm

V= $\pi R^{2} * H$

The volume of the different heights will be;

Height1=  $\pi$ *  $9^{2}$ * 15= 3, 818. 57 $cm^{2}$

Height2=  $\pi$ *  $9^{2}$ * 10= 2, 545. 71 $cm^{2}$

Hence the bigger height will result to bigger volume.

To find more on volume of cylinder, look into:

brainly.com/question/6204273

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