Thanks for replying !
Q1: Can you see that the paper forms a spiral round the inner tube with total length equal to the number of sheets times the length of a sheet?
Yes, Of course If the paper it is 3 inches times 3 inches and they are 500 pieces of paper, it would have a total length of 1,500 inches? (Correct me in If I am wrong)
Q2: Can you tell us what sort of approximate methods you can use to find and answer?
It is very complicated to me try to explain in English but ill try, Okay so I was trying to divide the area of the circle (the paper one without the paper board roll) by the numbers of sheet of paper, because in this problem they only provide the numbers of paper the size (sorry if I'm using a wrong term to mean 3 inches times 3 inches) and the diameter of the toilet paper, I was using area formula circles to try to figure out (total area of the circle where the paper covers only it is apparently 43.19689899), But any idea how can I get the thick (if there a higher level word for "Thick" please let me know) How can I divide 500 sheets of paper in area ? They are 2 different types of measures? How to? It is obvious that the area of a 3*3 Square its 9. Any hint or something? also I was wondering if exist a formula for this spiral? Also I know that the area of the inner roll (lets use some vocabulary from you "inner") It is 7.06858, I was trying to add the length of the paper to the perimeter of the inner roll Example, the perimeter is 9.42477796 (pi times d) which means that to complete a spiral with the paper we are going to need, 3.14 pieces of paper? (the perimeter divided by the length of the sheet of paper?), I think I am getting too much useless information to this, I was looking (in google ) for formulas to know the thickness of a paper, but I couldn't find something to figure out, I found many calculators to know different things about spiral, length, etc.
Q3: PS Is this really 11th grade homework or a challenge of some sort?
It is a homework, but it is a challenge too. My Geometry teacher always do similar hard questions like this, but this is very hard to solve. I suppose I am lacking some type of information or formula to solve this, that is the main reason that I am asking to try to learn something also this is not a graded homework. (In addiction he did not provided any type of hints or tips to solve this, just this information and the question)
PS: Thanks to reminding me to use "th" at the end of "11" thanks, I don't know how did I miss that.