Given:
The radius of the sphere is 6 in.
To find:
The volume of the sphere.
Solution:
We know that, the volume of a sphere is
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Where, r is the radius of the sphere.
Putting r=6, we get
[tex]V=\dfrac{4}{3}\pi (6)^3[/tex]
[tex]V=\dfrac{4}{3}\pi (216)[/tex]
[tex]V=288\pi[/tex]
[tex]V\approx 904.78[/tex]
The volume of the sphere is 904.78 inches cubed.
Therefore, the correct option is C.