Answer
$\approx$ 11.4 g/cm$^3$
Work Step by Step
Density = mass/volume
We already know the mass = 685,200 grams
Volume of a sphere = 4/3π$r^{3}$
So the volume of the lead sphere = 4/3π$(48.6/2 cm)^{3}$ $\approx$ 60,104.56 cm$^3$
Therefore, Density = 685,200/60,104.56 $\approx$ 11.4 g/cm$^3$