Statement:
All earth is globe
Only a few globe is sphere
Some sphere are planet
No world is planet

Some earth is sphere: As there is no direct relation between Earth and Sphere. So, conclusion I is false.
Some sphere is not world: Some sphere are planet. No world is planet. The sphere which are planet cannot be world. So, conclusion II is true.
Some globe is Earth: All earth are globe. Thus, some globe must be Earth. So, conclusion III is true.
All Earth being Sphere is a possibility: All earth are globe. Only a few globe is sphere. So, all earth being Sphere is a possibility. So, conclusion IV is true.
Thus, only conclusion I does not follows.