document.write( "Question 1196998: A cone-shaped paper drinking cup is to hold 40cm^3 of water. Find the height and radius of the cup that will require the least amount of paper. NOTE: Enter the exact answers. \n" ); document.write( "

Algebra.Com's Answer #830071 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi  \r\n" );
document.write( "A cone-shaped paper drinking cup is to hold  40cm^3 of water. \r\n" );
document.write( "Find the height and radius of the cup that will require the least amount of paper.\r\n" );
document.write( "NOTE: Enter the exact answers. \r\n" );
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document.write( "V= 1/3 πr^2h = 40cm^3 0r \r\n" );
document.write( "As my distinguished colleague pointed out... \r\n" );
document.write( "following REPRESENTS surface area of the 'cup'.\r\n" );
document.write( "S = \r\n" );
document.write( "Using graphing calculator: S' = ~0(.00003)  at r = ~3.0035cm\r\n" );
document.write( " r = ~3.0035  then h =  =4.2342\r\n" );
document.write( "checking:\r\n" );
document.write( "V= 1/3 πr^2h = 40cm^3\r\n" );
document.write( "V= 1/3 π(3.0035^2)4.2342 = 39.9996 \r\n" );
document.write( "AS Instructed:  \"NOTE: Enter the 'exact answers. \" \r\n" );
document.write( "Yes, one would need to use set S' = 0 & solve for r in terms of pi\r\n" );
document.write( "That having been said:\r\n" );
document.write( "The Graphing Calculator is a 'great way' to find answer to 4 decimal points.\r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
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