In: Physics
Answering 1, and 3.
1. Answer is almost zero.
For an infinite solenoid, you can argue by symmetry that the BB-field outside the solenoid has to be parallel to the axis. From this, by varying the size of the loop used in Ampere's law, you can show that the BB-field outside the solenoid (whatever strength it is) does not vary with distance from the solenoid.
It's pretty easy to show that the BB-field goes to zero from a solenoid, even an infinite one, as the distance from the solenoid goes to infinity. And so the BB-field has to be uniformly zero outside the solenoid.
For a finite solenoid, if you are not close to the ends, you can argue that the missing parts of the infinite solenoid shouldn't affect the BB-field much, and so the field is weak outside the solenoid as compared to inside.
3.