document.write( "Question 1044591: A 5 inch by 8 inch rectangular piece of paper can be rolled up to form either of two right circular cylinders, a cylinder with a height of 8 inches or a cylinder with a height of 5 inches. What is the ratio of the volume of the 8 inch tall cylinder to the volume of the 5 inch tall cylinder? \n" ); document.write( "
Algebra.Com's Answer #659918 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there,, \n" ); document.write( "Considering cylinder of 8\" height. \n" ); document.write( "It will have a circumference of 5\" \n" ); document.write( "To find radius: \n" ); document.write( "Circumference = 2πradius \n" ); document.write( "2πradius = 5\" \n" ); document.write( "πradius = 2.5\" \n" ); document.write( "Radius = 2.5\"/π\r \n" ); document.write( "\n" ); document.write( "Volume = πr^2h \n" ); document.write( "Volume = π(2.5/π)^2 x 8 \n" ); document.write( "Volume = 15.91 ins^3 \n" ); document.write( "........................ \n" ); document.write( "Considering cylinder of 5\" height. \n" ); document.write( "It will have a circumference of 8\" \n" ); document.write( "To find radius: \n" ); document.write( "Circumference = 2πradius \n" ); document.write( "2πradius = 8\" \n" ); document.write( "πradius = 4\" \n" ); document.write( "Radius = 4\"/π\r \n" ); document.write( "\n" ); document.write( "Volume = πr^2h \n" ); document.write( "Volume = π(4/π)^2 x 5 \n" ); document.write( "Volume = 25.46 ins^3 \n" ); document.write( "................. \n" ); document.write( "Ratio of volume of 8\" tall cylinder \n" ); document.write( "to volume of 5\" tall cylinder \n" ); document.write( "15.91 ins^3 to 25.46 ins^3 \n" ); document.write( "1 : 1.6. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |