The formula for the volume of a sphere is:
$V = \frac{4}{3}\pi r^3$
where $V$ is the volume and $r$ is the radius. Since the diameter is given as 100 km, the radius is 50 km. Plugging this into the formula, we get:
$V = \frac{4}{3}\pi (50)^3 \approx 523,598.78
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