*21. A penny is [ of an inch thick. a. Suppose you have 1000 pennies. If you make a stack of these pennies, how tall will it be? Give your answer in feet and inches (e.g., 7 feet, 3 inches). Explain your reasoning. b. Suppose you have 1 million pennies. If you make a stack of these pennies, how tall will it be? Give your answer in feet and inches (e.g., 7 feet, 3 inches). Would the stack be more than a mile tall or not? Explain your reasoning. c. Suppose you have 1 billion pennies. If you make a stack of these pennies, how tall will it be? Give your answer in miles. Explain your reasoning.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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*21. A penny is [ of an inch thick.

a. Suppose you have 1000 pennies. If you make a stack of these pennies, how tall will it be? Give your answer in feet and inches (e.g., 7 feet, 3 inches). Explain your reasoning.

b. Suppose you have 1 million pennies. If you make a stack of these pennies, how tall will it be? Give your answer in feet and inches (e.g., 7 feet, 3 inches). Would the stack be more than a mile tall or not? Explain your reasoning.

c. Suppose you have 1 billion pennies. If you make a stack of these pennies, how tall will it be? Give your answer in miles. Explain your reasoning.

d. Suppose you have 1 trillion pennies. If you make a stack of these pennies, how tall will it be? Give your answer in miles. Would the stack reach to the moon, which is about 240,000 miles away?

Would the stack reach to the sun, which is about 93 million miles away? Explain your reasoning.

 

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