These questions about the ping pong balls, and the bowling ball remind me of one of my reservoir engineering profs.
He honestly didn't care if you got the right answer, as long as your method was sound.
As long as you did all the right steps, and the wrong answer was only a matter of a math error, or accidentially using the wrong value, he didn't care, you could still get full marks for the question.
His view was that he wasn't teaching arithmetic, and that we wouldn't be in his class if we didn't know how to add, so there was no point deducting marks for honest mistakes.
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