Consider the Earth to be a perfect sphere and you have a ball of string that will wrap completely around the Earth at the equator. How much more string do you need to let out such that the string will be exactly one foot above the Earth all the way around the equator?
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You start with a circle with diameter 8000 miles, and circumference 8000π miles. (So the string is about 25000 miles long).
You need to lengthen the string so that it will go around a new circle with a diameter of (8000 miles + 2 feet).. The new length = π(8000 miles + 2 feet) = 2π feet longer than the original string. So all you need is about 75.4 inches more string, just over 6 feet.
You need to lengthen the string so that it will go around a new circle with a diameter of (8000 miles + 2 feet).. The new length = π(8000 miles + 2 feet) = 2π feet longer than the original string. So all you need is about 75.4 inches more string, just over 6 feet.
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We need to know the thickness of the string.
EDIT: Then your question doesn't make sense. The question is asking how much more string you need if you layer the string around the equator of the Earth until the thickness of it is 1 foot, correct? What else do you mean, then? Or did you mean that you wrap it around once and then 1 foot of extra string is put up straight into the air?
In that case, the answer is 1 foot.
But then the part where you wrote, "exactly one foot above the earth all the way around the equator" doesn't make sense because you're saying it's 1 foot above for the entire distance around the equator, which is why everyone is understanding the question as asking for the yarn's thickness if it is wrapped around until the thickness is 1 foot. This is a terribly worded question.
EDIT: Then your question doesn't make sense. The question is asking how much more string you need if you layer the string around the equator of the Earth until the thickness of it is 1 foot, correct? What else do you mean, then? Or did you mean that you wrap it around once and then 1 foot of extra string is put up straight into the air?
In that case, the answer is 1 foot.
But then the part where you wrote, "exactly one foot above the earth all the way around the equator" doesn't make sense because you're saying it's 1 foot above for the entire distance around the equator, which is why everyone is understanding the question as asking for the yarn's thickness if it is wrapped around until the thickness is 1 foot. This is a terribly worded question.
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3.92885667 × 10 to the 13th power.
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it will be easier if you actually told us the thickness of the string =.=
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yeah man