#### Answer

$\frac{V_1}{V_2} = \frac{1}{27}$

#### Work Step by Step

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

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$\frac{V_1}{V_2} = \frac{1}{27}$

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