The volume of every sphere is
            Volume = (4/3) (pi) (radius)³
When you say "across", I think you mean the diameter of the ball.
The radius is half of the diameter = 12 inches.
         Volume = (4/3) (pi) (12 inches)³
                       = (4/3) (pi) (1,728 cubic inches)
                       =    7,238.2 cubic inches .  (rounded)