Answer
$\frac{V_1}{V_2} = \frac{1}{27}$
Work Step by Step
We can find the ratio of volumes:
$\frac{V_1}{V_2} = (\frac{e_1}{e_2})^3$
$\frac{V_1}{V_2} = (\frac{2~cm}{6~cm})^3$
$\frac{V_1}{V_2} = (\frac{1}{3})^3$
$\frac{V_1}{V_2} = \frac{1}{27}$