document.write( "Question 868011: if the radius of a cylinder is doubled and its height is quartered, what will be the percent increase in its volume? \n" ); document.write( "
Algebra.Com's Answer #523297 by mananth(16946)![]() ![]() You can put this solution on YOUR website! if the radius of a cylinder is doubled and its height is quartered, what will be the percent increase in its volume? \r \n" ); document.write( "\n" ); document.write( "Cylinder I\r \n" ); document.write( "\n" ); document.write( "V1= pi * r1^2*h1\r \n" ); document.write( "\n" ); document.write( "V2= pi*r2^2*h2\r \n" ); document.write( "\n" ); document.write( "r2=2r1 \n" ); document.write( "h2= (1/4)h1\r \n" ); document.write( "\n" ); document.write( "V2/V1= (pi*r2^2*h2)/(pi*r1^2*h1)\r \n" ); document.write( "\n" ); document.write( "= (pi*(2r1)^2*(1/4)*h1)/(pi*r1^2*h1)\r \n" ); document.write( "\n" ); document.write( "=(4r1^2*(h1/4))/(pi*r1^2*h1)\r \n" ); document.write( "\n" ); document.write( "=1/1\r \n" ); document.write( "\n" ); document.write( "No increase in Volume\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |