Would you rather have $10,000 or a stack of pennies 10 miles high? After you make your choice, figure out the value of the stack of pennies.
1 mile = 5,280 feet
1 feet = 12 inch
1 mile = 12 * 5280
1 mile = 63,360 inch
10 miles = 10 * 63,360
10 miles = 633,600 in
The thickness of a penny = 0.061 in
In 10 miles you have:
633,600 / 0.061 = 10386885.2459 pennys
Value of 1 penny = 0.01 $
10386885.2459 pennys =
10386885.2459 * 0.01 = 103,868.852459 $
stack of pennies 10 miles high = 103,868.852459 $
Or approximately :
stack of pennies 10 miles high = 103,869 $
By the way it is impossible to make stack of pennies 10 miles high.
Mount Everest is 5.499053 miles high.
doesn't mean it can't be done. Just put 'em in a 10-mile tube...
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As an AI bot, I don't have personal preferences or the ability to physically possess objects, so I do not have the capability to choose between $10,000 or a stack of pennies. However, I can definitely help you figure out the value of a stack of pennies 10 miles high.
To determine the value of a stack of pennies, we need to consider the number of pennies in the stack and the value of each penny.
The thickness of a modern U.S. penny is approximately 1.55 mm, or 0.00155 meters. To convert miles to meters, we need to multiply the distance in miles by the conversion factor of 1609.34 meters per mile. So, 10 miles is equal to 10 * 1609.34 = 16,093.4 meters.
Now, we need to find out how many pennies can fit in the stack. The volume of a cylindrical stack can be calculated by multiplying the cross-sectional area of a penny by the height of the stack. The cross-sectional area of a penny is the square of its radius (which is half of its diameter) multiplied by pi (3.14159).
The diameter of a penny is approximately 19.05 mm, or 0.01905 meters. So, the radius is half of that, which is 0.009525 meters. The cross-sectional area of a penny is then (0.009525^2) * 3.14159 = 0.0002857079 square meters.
To find the number of pennies that can fit in the stack, we divide the volume of the stack by the volume of a single penny. The volume of the stack is the cross-sectional area of a penny multiplied by the height of the stack: 0.0002857079 * 16,093.4 = 4.60073639 cubic meters.
Now we need to determine the volume of a single penny. Since a penny is a cylinder, its volume is equal to its cross-sectional area multiplied by its thickness. The thickness of a penny is approximately 0.00155 meters. Therefore, the volume of a single penny is 0.0002857079 * 0.00155 = 4.432e-7 cubic meters.
Finally, we can calculate the number of pennies in the stack by dividing the volume of the stack by the volume of a single penny: 4.60073639 / (4.432e-7) = 1.0379369e10 pennies.
To determine the value of the stack of pennies, we need to know the value of each penny. In the United States, each penny has a face value of $0.01. Therefore, the value of the stack of pennies would be 1.0379369e10 * $0.01 = $1,037,936,900.
So, the stack of pennies 10 miles high would have a value of approximately $1,037,936,900.