SOLUTION: The Earth is approximately a sphere with radius 4000 miles. Today, there are roughly 6.7 billion people on the Earth. (a) About 30% of the surface is land, the rest is water. If

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The Earth is approximately a sphere with radius 4000 miles. Today, there are roughly 6.7 billion people on the Earth. (a) About 30% of the surface is land, the rest is water. If      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 264077: The Earth is approximately a sphere with radius 4000 miles. Today, there are roughly 6.7 billion people on the Earth.
(a) About 30% of the surface is land, the rest is water. If the land is shared equally between people, how many acres would each person have ?
(b) About one fifth of land is arable. How many acres of arable land is there per person ?

Answer by Greenfinch(383) About Me  (Show Source):
You can put this solution on YOUR website!
Area of Earth is 4 x pi x 4000^2 in sq miles = 201061929.8 sq miles.
Land is 30% of this or 60318578.95 sq miles
Per person, this is 0.00900 sq miles per person
There are 640 acres per sq mile so 5.76 acres per person.
If 1/5 is arable, that is 1.15 acres of arable land per person.