document.write( "Question 1125545: A sphere just fits inside a cube. What is the surface area of the sphere as a percentage of the surface area of the cube? Round your answer to the nearest whole percentage.
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Algebra.Com's Answer #741885 by FrankM(1040)![]() ![]() You can put this solution on YOUR website! The cube is a unit cube, with a side of 1 and a surface area of 6. (Right? Each side is 1x1 times 6 sides.)\r \n" ); document.write( "\n" ); document.write( "The sphere, has a surface area of 4 pi r^2. The radius is 1/2 unit so \n" ); document.write( "4 x pi x 1/4 or just pi. \r \n" ); document.write( "\n" ); document.write( "sphere to cube is pi/6 \r \n" ); document.write( "\n" ); document.write( "or\r \n" ); document.write( "\n" ); document.write( "3.14159/6 = .5236 just over 52% the surface area. \n" ); document.write( " |