Answer: [tex]scale\ factor=\frac{3}{11}[/tex]
Step-by-step explanation:
We know that the volume of one of the cylinders is:
[tex]V_1=27 cm^3[/tex]
And the volume of the other cylinder is:
[tex]V_2=1,331 cm^3[/tex]
Then, by definition, the scale factor is:
[tex]scale\ factor=\sqrt[3]{\frac{V_1}{V_2} }[/tex]
Therefore, substitute the volumes into the expression, we get that the scale factor betweeen these cylinders is:
[tex]scale\ factor=\sqrt[3]{\frac{27 cm^3}{1,331 cm^3.} }\\\\scale\ factor=\frac{3}{11}[/tex]
