Can I increase range of a near field magnetic inductor from 10cm to 100cm by increasing radius of ferrite rod coil by 30 times?
Magnetic field falls with distance cubed so, if the distance is increased by 10:1 then the field has fallen by 1000:1.

On the other hand if the radius increases by \$\sqrt{1000}\$ then you receive the same magnetic flux density. For confirmation of your formula see this: -



Picture taken from hyperphysics website