Answer:
[tex]V=2.2\ x\ 10^{10} km^3[/tex]
Step-by-step explanation:
The formula to calculate the volume of a sphere is:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere.
In this case we do not know the radius of the sphere, but we know the diameter.
By definition the diameter of a sphere is equal to twice the radius. This is:
[tex]d = 2r[/tex]
[tex]r = \frac{d}{2}[/tex]
In this case d= 3,476 km
So
[tex]r = \frac{3,476}{2}[/tex]
[tex]r = 1738\ km[/tex]
Finally
[tex]V=\frac{4}{3}\pi (1738)^3[/tex]
[tex]V=2.20\ x\ 10^{10} km^3[/tex]
