document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102157>Question 102157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My biggest weakness in math is problems with cylinders so please help me out.\r<BR>\n" );
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document.write( "A cylindrical container including a top and bottom is made from no more than 108(pi) cm-squared of sheet metal. If the radius of the top is 3cm what is the maximum volume that the container can hold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74253 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A cylindrical container including a top and bottom is made from no more than 108(pi) cm-squared of sheet metal. If the radius of the top is 3cm what is the maximum volume that the container can hold?<BR>\n" );
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document.write( "If radius is 3 cm, area of the top is 9pi sq. cm.<BR>\n" );
document.write( "Top + bottom = 18pi sq.cm.<BR>\n" );
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document.write( "Surface area of the side is 108pi cm^2 - 18pi cm^2 = 90pi cm^2<BR>\n" );
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document.write( "Formula for the surface of the area = 2pi*r*h<BR>\n" );
document.write( "So, 2pi*r*h cm^2 = 90pi cm^2<BR>\n" );
document.write( "rh = 45<BR>\n" );
document.write( "But r=3<BR>\n" );
document.write( "So, h = 45/3 = 15 cm<BR>\n" );
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document.write( "Volume = pir^2h<BR>\n" );
document.write( "Volume = pi*3^2*15<BR>\n" );
document.write( "Volume = 135pi cm^3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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