Final answer:
To find the height of a stack of 4 trillion one-dollar bills, calculate the volume of a stack of 100 bills, find the number of stacks needed, calculate the area of a football field, and divide the number of stacks by the area of the football field.
Step-by-step explanation:
To find the height of a stack of one-dollar bills that would equal the US federal government's annual expenditure of 4 trillion dollars, we can follow these steps:
- Calculate the volume of a stack of 100 one-dollar bills, which is 9 in³.
- Find the number of stacks needed to reach 4 trillion dollars.
- Since one trillion dollars is equal to $1 × 10¹², and a stack of one-hundred one-dollar bills is equal to $10,000 or $1 × 10⁴, the number of stacks is 1 × 10¹² / 1 × 10⁴ = 1 × 10⁸ stacks.
- Calculate the area of a football field in square inches.
- A football field has an area of 6480000 in².
- Finally, divide the number of stacks by the area of the football field to find the height of the stack.
- This gives us (1 × 10⁸ stacks) / (6480000 in²/stack) = 1543.21 in.
- Converting to meters, we divide by 39.37 to get approximately 39.12 meters.
Therefore, a stack of 4 trillion one-dollar bills would be approximately 39.12 meters tall