document.write( "Question 167653: a large soup can is to be designed so that the can will hold 16π in^3 (about 28oz) of soup. find what height and radius of the cylindrical can will minimize the amount of metal needed. note: you will need to use the \"minimum\" program on your calculator. -- I have no idea where to even start with this problem. \n" ); document.write( "
Algebra.Com's Answer #123567 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! From the solution above: \n" ); document.write( "-------------------- \n" ); document.write( "Start at S.A. = 2PIr^2 + 2V/r \n" ); document.write( "Set the 1st derivate of dSA/dr = 0 (derivative of SA with respect to r) \n" ); document.write( "4PIr - 2V/r^2 = 0 \n" ); document.write( "4PIr^3 - 2V = 0 \n" ); document.write( "2PIr^3 - 16PI = 0 \n" ); document.write( "r^3 = 8 \n" ); document.write( "r = 2 \n" ); document.write( "h = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |