Take a piece of ordinary paper, about 0.1 mm in thickness. Now start folding it in half, then in half again, and so on. Assume you could continue indefinitely. a. How would you model the growth in thickness of the folded paper? b. How many folds would it take to reach: I. The height of a human? I. The height of the Matterhorn, a famous mountain in Switzerland, which is 4478 meters? ii. The sun? iv. The edge of the known universe?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 34A
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2) To the edge of the universe
Take a piece of ordinary paper, about 0.1 mm in thickness. Now start folding it in half, then in half
again, and so on. Assume you could continue indefinitely.
a. How would you model the growth in thickness of the folded paper?
b. How many folds would it take to reach:
I. The height of a human?
ii. The height of the Matterhorn, a famous mountain in Switzerland, which is 4478 meters?
ii. The sun?
iv. The edge of the known universe?
Transcribed Image Text:2) To the edge of the universe Take a piece of ordinary paper, about 0.1 mm in thickness. Now start folding it in half, then in half again, and so on. Assume you could continue indefinitely. a. How would you model the growth in thickness of the folded paper? b. How many folds would it take to reach: I. The height of a human? ii. The height of the Matterhorn, a famous mountain in Switzerland, which is 4478 meters? ii. The sun? iv. The edge of the known universe?
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