document.write( "Question 153186: I need to calculate the number of roses necessary to cover an 8\" globe. The roses would average 2\" in width. \n" ); document.write( "
Algebra.Com's Answer #112709 by Earlsdon(6294)\"\" \"About 
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By \"8-inch globe\", I assume that you mean the diameter of the globe (sphere) is 8 inche!?
\n" ); document.write( "And by the roses' average width of 2\" I assume that the diameter of the rose averages 2 inches!
\n" ); document.write( "So, let's find the surface area of the 8\" globe (sphere).
\n" ); document.write( "The surface area of a sphere is given by:
\n" ); document.write( "\"A%5Bg%5D+=+pi%2AD%5E2\" ...and the area of a rose, which approximates a circle, is given by:
\n" ); document.write( "\"A%5Br%5D+=+pi%2Ar%5E2\" or \"A%5Br%5D+=+pi%2A%28D%2F2%29%5E2\" = \"pi%2AD%5E2%2F4\"
\n" ); document.write( "So, for the 8\" globe, we have:
\n" ); document.write( "\"A%5Bg%5D+=+pi%2A%288%29%5E2\"
\n" ); document.write( "\"A%5Bg%5D+=+64%2Api\"sq.in....and for the roses, we have:
\n" ); document.write( "\"A%5Br%5D+=+pi%2A%282%29%5E2%2F4\"
\n" ); document.write( "\"A%5Br%5D+=+pi\"sq.in.
\n" ); document.write( "Now you want to know many times will the area of the rose (\"pi\"sq.in.) go into the area of the globe (\"64%2Api\"sq.in.)? So we divide the globe area by the rose area.
\n" ); document.write( "\"64%2Across%28pi%29%2Fcross%28pi%29+=+64\"
\n" ); document.write( "You would need about 64 2\"-roses to cover the surface of an 8\"-globe.
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