document.write( "Question 1074738: A closed cylinder has total surface area equal to 600π. Show that the volume, V cm^3, of this cylinder is given by the formula V=300πr-πr^3, where r cm is the radius of the cylinder. Find the maximum volume of such a cylinder. \n" ); document.write( "
Algebra.Com's Answer #689406 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Total Surface area
\n" ); document.write( "Includes a length between the two circle parts, h.
\n" ); document.write( "\"2%2Api%2Ar%5E2%2Bh%2A2pi%2Ar=600pi\"\r
\n" ); document.write( "\n" ); document.write( "\"2pi%28r%5E2%2Bh%2Ar%29=600pi\"
\n" ); document.write( "\"r%5E2%2Bhr=300\"
\n" ); document.write( "\"hr=300-r%5E2\"
\n" ); document.write( "\"h=%28300-r%5E2%29%2Fr\"\r
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\n" ); document.write( "\n" ); document.write( "VOLUME\r
\n" ); document.write( "\n" ); document.write( "\"h%2Api%2Ar%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"%28%28300-r%5E2%29%2Fr%29pi%2Ar%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"%28300%2Fr-r%29%28pi%2Ar%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"300pi%2Ar-pi%2Ar%5E3\"-------DONE\r
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\n" ); document.write( "Maybe you can do the rest - finding maximum volume
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