Answer :

The connection between the industrial revolution and imperialism is that The English Industrial Revolution (EIR from now on) was the rise of technology, weapons manufacturing, and the cottage industry. This was the cause of some neighboring countries asking themselves, "what are they doing, and why are they making so many weapons?" you see what i mean? this then caused neighboring countries who were already on unstable grounds with the English to think that they were about to try and expand. the unstable countries automatically assumed the worst, and started expanding themselves in order to keep their own power. Do you see where this is going? the expanding countries then went on a conquering spree and liked the idea of more power. England then took to the idea and practically took over Africa and much of the rest of the Europe, and some of South America, hence the quote, "The sun never sets on the English Empire."