document.write( "Question 190165: a cylinder with a radius of 6 inches and a height of 8 inches has its radius quadrupled. How many times greater is the volume of the larger cylinder than the smaller cylinder? \n" ); document.write( "
Algebra.Com's Answer #142721 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! a cylinder with a radius of 6 inches and a height of 8 inches has its radius quadrupled. How many times greater is the volume of the larger cylinder than the smaller cylinder? \n" ); document.write( ". \n" ); document.write( "Smaller cylinder: \n" ); document.write( "radius = 6 inches \n" ); document.write( "height = 8 inches \n" ); document.write( "area = (pi)r^2h \n" ); document.write( "area = (3.14)6^2(8) \n" ); document.write( ". \n" ); document.write( "Larger cylinder: \n" ); document.write( "radius = 24 inches \n" ); document.write( "height = 8 inches \n" ); document.write( "area = (pi)r^2h \n" ); document.write( "area = (3.14)24^2(8) \n" ); document.write( ". \n" ); document.write( "[(3.14)6^2(8)] / [(3.14)24^2(8)] \n" ); document.write( "[6^2(8)] / [24^2(8)] \n" ); document.write( "[6^2] / [24^2] \n" ); document.write( "[36] / [576] \n" ); document.write( "16 times greater \n" ); document.write( " \n" ); document.write( " |