'Why the hell' is stronger and more abrupt. I would not see it as swearing, but it expresses frustration, and in some contexts could be seen as quite rude.
July 12, 2019
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There is. To my ear, "where in the world" is wondering, "where the hell" is angry (and "hell" is seen as swearing), and "where on earth" is a little bit exasperated.
July 12, 2019
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I'm not sure but to me they sound a bit different.
July 12, 2019
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