Rearrange formula to show a linear relationship between Frequency and Volume

[qq194]

"f" is frequency "V" is some kind of volume and $c_s$ is the speed of sound. By dimensional analysis, $A$ and $L$ are, respectively, some kind of area and length. I know all this because initially OP attached a pdf which was since deleted. There was no information on the physical situation in the pdf.

thanks for your help!

 

[qq194]

View attachment 330756

so that's the last question, how can I determine cs from this function equation between f and v now?because $$ y=kx^n $$
that describes only f and V in the diagram, can I determine cs with the help of these straight lines?

 

[Chestermiller]

so that's the last question, how can I determine cs from this function equation between f and v now?because $$ y=kx^n $$
that describes only f and V in the diagram, can I determine cs with the help of these straight lines?

$$k=\frac{c_s}{2\pi}\sqrt{A/L}$$