I do not know that much of Korean, sorry, since I am a beginner and still learning.
But in Japanese cold and hot can have different meanings. They are if some object is hot or then if the weather is hot. The same thing is with cold; coldhearted (person), cold on surface or cold to touch and cold weather. I guess people can be cold and hot also. All the different meanings have their own kanji.
I am sorry I do not know at all of Korean, but atleast in Japanese there are several "warm" and "colds".
I assume that since Korean and Japanese have quite lot in common, the similarity could apply to this question.
Edit: Checked in dictionary and it says (
http://www.wordreference.com/enko/cold)
hot adj (with high temperature) 온도가
hot adj figurative (food: spicy) 음식: 비유적표현
hot adj informal (popular) 속어
I cannot find more of cold.
Hope this helps at least a little.