Approximately how much is a 10 mile high stack of pennies worth?
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To determine the approximate value of a 10-mile high stack of pennies, we need to calculate the number of pennies in a stack of that height, and then multiply that by the value of a single penny.
1. First, let's find out how many pennies fit in one mile. The thickness of a penny is approximately 1.52 mm.
2. There are 1,609,344 meters in one mile, and since there are 1,000 millimeters in a meter, we multiply 1 mile by 1,609,344 meters/mile and then multiply by 1,000 millimeters/meter to convert miles to millimeters:
10 miles * 1,609,344 meters/mile * 1,000 millimeters/meter = 16,093,440,000 millimeters.
3. Now we need to calculate how many pennies fit in 16,093,440,000 millimeters. Dividing the stack's height (in millimeters) by the thickness of a penny, we get the number of pennies:
Number of pennies = 16,093,440,000 millimeters / 1.52 millimeters = 10,597,368,421.05 pennies.
4. Since we can't have fractional pennies, we need to round the number down to the nearest whole penny:
Number of pennies = 10,597,368,421 pennies.
5. Finally, we multiply the number of pennies by the value of a single penny. As of September 2021, the face value of a penny is $0.01:
Value of pennies = 10,597,368,421 pennies * $0.01/penny = $105,973,684.21.
So, approximately, a 10-mile high stack of pennies would be worth about $105,973,684.21.