A large sheet of paper is 0.1 mm thick. A man amuses himself by tearing it in half and putting both pieces together, and then tearing those into four sheets, and repeating the process until he has done it twenty-five times. (Assume he can physically do this).

How high is the stack of paper now?

The stack height of paper after tearing it and doubling it 25 times can be calculated using exponential growth. Since the paper is 0.1 mm thick initially, after one tearing and doubling, the stack would be 0.2 mm thick. After 25 tearings, the thickness would double 25 times, so we use the formula for exponential growth:

Height = initial thickness × 2number of times doubled

Height = 0.1 mm × 225

To find the result of 225, you would calculate:

225 = 33,554,432

Therefore, the height of the stack would be:

Height = 0.1 mm × 33,554,432 = 3,355,443.2 mm

To convert that into a more manageable unit, like meters:

3,355,443.2 mm = 3,355.4432 meters

So the stack of paper would be 3,355.4432 meters high, which is over 3 kilometers tall!

Learn more about Exponential Growth here:

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A large sheet of paper is 0.1 mm thick. A man amuses himself by tearing it in half and putting both pieces together, and then tearing those into four sheets, and repeating the process until he has done it twenty-five times. (Assume he can physically do this).How high is the stack of paper now?

Answer :

Final answer:

Explanation:

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Other Questions

A large sheet of paper is 0.1 mm thick. A man amuses himself by tearing it in half and putting both pieces together, and then tearing those into four sheets, and repeating the process until he has done it twenty-five times. (Assume he can physically do this).

How high is the stack of paper now?