document.write( "Question 1033442: A person six feet tall walks around the earth. Assuming the earth is a perfect sphere, how many feet farther does the top of this person's head travel than the bottoms of his feet? Express your answer in terms of $\pi$. \n" ); document.write( "
Algebra.Com's Answer #648078 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! The circumference of a sphere is 2pi*r \n" ); document.write( "The circumference of a sphere 6 feet wider is (2*pi*(r+6 feet)) \n" ); document.write( "The ratio is r+6 feet/r \n" ); document.write( "If we use 4000 miles for the Earth's radius, the circumference is 2*pi*4000=8000*pi \n" ); document.write( "The radius to the person's head, using 6 feet as 1/880 mile, is 2*pi*4000(1/880)=8000*(2/880)*pi \n" ); document.write( "The difference is pi(8000 2/880)-8000=2pi/880 miles \n" ); document.write( "This is 12 pi feet. \n" ); document.write( " |