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1. If all the land (both currently inhabitated and all the inhabitable land) wer

ID: 1828764 • Letter: 1

Question

1.     If all the land (both currently inhabitated and all the inhabitable land) were divided equally among the people now living, how many acres of land would each one have?

First, consider the following assumptions.  In case of rough estimation, choose the most reasonable number which is closest to your own estimate.

The diameter of the earth is (800, 12,000, 8,000 18,000) miles.

The faction fraction of the total surface that is land is (0.1, 0.3, 0.5, 0.7, 0.9).

The number of people on earth is (700 million, 35 billion, 7 billion, 70 billion, 900 million,      100 million).

Explanation / Answer

The diameter of the earth=8000miles==>r=4000

The faction fraction of the total surface that is land i=0.3

The number of people on earth=x=7billion


area per person=4pir^2/x =4*pi*4000^2/7000000000=0.028723square miles=0.028723*640acres=18.4acres