document.write( "Question 346274: a cylindrical chemical storage tank must have a height 4 meters greater than the radius of the top of the tank. Determine the radius of the top and the height of the tank if the tank must have a volume of 15.71 cubic meters. \n" ); document.write( "
Algebra.Com's Answer #247672 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! a cylindrical chemical storage tank must have a height 4 meters greater than \n" ); document.write( "the radius of the top of the tank. \n" ); document.write( " Determine the radius of the top and the height of the tank if the tank must \n" ); document.write( " have a volume of 15.71 cubic meters. \n" ); document.write( ": \n" ); document.write( "Let r = the radius of the tank \n" ); document.write( "It says,\"must have a height 4 meters greater than the radius.\" therefore \n" ); document.write( "(r+4) = the height of the tank \n" ); document.write( ": \n" ); document.write( "Volume of a cylinder: V = \n" ); document.write( "Therefore \n" ); document.write( " \n" ); document.write( "divide both sides by pi, results \n" ); document.write( "r^2(r+4) = \n" ); document.write( "r^3 + 4r^2 = 5 \n" ); document.write( "r^3 + 4r^2 - 5 = 0 \n" ); document.write( "just from looking at this you know that r=1, then the height = 5 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this \n" ); document.write( " V = \n" ); document.write( " v = 15.707 ~15.71 \n" ); document.write( " |