(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The earth is a sphere with a radius of 24, 843 miles. You wrap a piece of string around

the earth so that it fits snuggly. THEN, you cut it, add 10 feet to the string, and adjust

it so that it has equal height all around the world. Question: How many pieces of

paper will fit under the string (thickness = 0.01 inches).

2. Relevant equations

C=2pi(R)

3. The attempt at a solution

C1=2pi(24,843)

C2=2pi(24,843.00189)

C2-C1=0.1189997 miles

0.1189997 miles/ 2p i= R= 0.001893939miles

0.001893939mile x 5280/1mi = 9.999998174 feet

9.999998174 feet x 12in/1 ft =119.9999781 in

119.9999781 in/0.01 in = 11999.99781 sheets of paper

My answer seems unrealistic. I thought to solve this problem I would subtract the two circumferences and then divide the answer by 2pi to find the length of the gap and then i would use conversion factors to figure out the amount of papers that would stack up.

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# Homework Help: How many pieces of paper will fit under the string?

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