Answer
Please see the work below.
Work Step by Step
We know that
The volume of the Sun is given as
$V_S=\frac{4}{3}\pi R^3_S$
and the volume of Earth is given as
$V_E=\frac{4}{3}\pi R^3_E$
Now we can find the ratio
$\frac{V_S}{V_E}=\frac{\frac{4}{3}\pi R^3_S}{\frac{4}{3}\pi R^3_E}$
$\frac{V_S}{V_E}=(\frac{R_S}{R_E})^3$
We plug in the known values to obtain:
$\frac{V_S}{V_E}=(\frac{6.96\times 10^8}{6.37\times 10^6})^3$
$\frac{V_S}{V_E}=1.30\times 10^6$
