will the fan fit in a supermicro 504-203B 1U Chassis?

I can say with an almost certainty that it'll fit no problem. It's a very low profile cooler, and according to CWC Group (they sell the cooler by itself) the part number E98290-001 cooler (which is on my 6100T, and came with it) is a 1U cooler.

Questions & Answers: Intel Core i3-6100T - Core i3 6th Gen Skylake Dual-Core 3.2 GHz LGA 1151 35W Intel HD Graphics 530 Desktop Processor - BX80662I36100T

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Intel Core i3-6100T - Core i3 6th Gen Skylake Dual-Core 3.2 GHz LGA 1151 35W Intel HD Graphics 530 Desktop Processor - BX80662I36100T

14nm Skylake 35W
3MB L3 Cache
Intel HD Graphics 530

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