What was wrong with my answers to how to deal with low volt annunciator, and icing, both in IMC/IFR? I have questions for emergency situation in IMC.

I was asked about low volt or icing condition IMC from my school's checker.

The checker said "if you see low volt annunciator on PFD how can you deal with this problem under IFR flight?" So I answered "first contact ATC, and request radar vector to nearest airport and then, I will follow the check list for low volt annunciator." However, the checker said this answer was wrong. 

Also, I got a similar question from the checker which is icing condition during IFR flight.  "When you face on icing condition under IFR flight, how can you deal with this situation?" So I also answered "first, I will turn on pitot heat, deforster and cabin heat, After that, I will do climb or descent to get warm air to rid of icing and try to get VMC condition. However, I will consider the altitude which is be higher than MEA. Also, I will do follow the check list for icing. If the problem is not solved, I will let ATC my problem, and request radar vector to nearest airport." But, the checker thought this answer was wrong too.

Is there any problem from my answers? Or could you let me know how I can deal with this low volt or icing situation in IMC? 

Thank you very much!
Based on a 172S G1000


I wouldn't say your answer for the first question is wrong, but your steps are out of order. Before contacting ATC you need to verify the issue via whatever the POH says. On a 172S that means you will cycle the alternator switch and verify low voltage on the G1000 and whether or not the battery is charging. Do realize that the G1000s have a backup battery that provides x amount of backup time and it should have already been tested in the pre-flight and set to arm, if you verify the issue then limiting battery load and  contacting ATC would be the next step, never the first, and the value of backup time should be known and planned around(can't recall at this time, sorry).
I think this question is more semantics and specifics, he/she may not have liked climbing or descending as your only answer really, getting out of icing is the most important thing whatever the direction is, but I agree in general with climb/descent based on information. Asking for an altitude change I assume is implied when you say climb or descend. What you describe here is pretty text-book as far as dealing with icing to my knowledge.