document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=672605>Question 672605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an aluminum can us being designed to hold 17013pi cubic centimeters of water. Find the dimensions of the can that result in the lest amount of aluminum used in the construction of the can  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418239 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=418239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> an aluminum can us being designed to hold 17013pi cubic centimeters of water.<BR>\n" );
document.write( " Find the dimensions of the can that result in the lest amount of aluminum used<BR>\n" );
document.write( " in the construction of the can<BR>\n" );
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document.write( "Volume<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17013%2Api ALIGN=MIDDLE  ALT=\"17013%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by pi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2%2Ah ALIGN=MIDDLE  ALT=\"r%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 17013<BR>\n" );
document.write( "divide both sides by r^2<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17013%2Fr%5E2 ALIGN=MIDDLE  ALT=\"17013%2Fr%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Surface area of a cylinder; (including the ends)<BR>\n" );
document.write( "S.A. = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2Ar%28r+%2B+h%29 ALIGN=MIDDLE  ALT=\"2%2Api%2Ar%28r+%2B+h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Replace h with  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17013%2Fr%5E2 ALIGN=MIDDLE  ALT=\"17013%2Fr%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "S.A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2Ar%28r%2B%2817013%2Fr%5E2%29%29 ALIGN=MIDDLE  ALT=\"2%2Api%2Ar%28r%2B%2817013%2Fr%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2A%28r%5E2%2Br%2817013%2Fr%5E2%29%29 ALIGN=MIDDLE  ALT=\"2%2Api%2A%28r%5E2%2Br%2817013%2Fr%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2A%28r%5E2%2B%2817013%2Fr%29%29 ALIGN=MIDDLE  ALT=\"2%2Api%2A%28r%5E2%2B%2817013%2Fr%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Graphically<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+50%2C+-5000%2C+15000%2C+2%2Api%2A%28x%5E2%2B%2817013%2Fx%29%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Can radius for minimum surface area = 20.41 inches<BR>\n" );
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document.write( "Find the height of the cann<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17013%2F20.41%5E2 ALIGN=MIDDLE  ALT=\"17013%2F20.41%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 40.84 cm high<BR>\n" );
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document.write( "Check by finding the vol of a can with a radius of 20.41 and a height of 40.84<BR>\n" );
document.write( "Vol = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A20.41%5E2%2A40.84 ALIGN=MIDDLE  ALT=\"pi%2A20.41%5E2%2A40.84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V = 53447 cu/in; (which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17013%2Api%29 ALIGN=MIDDLE  ALT=\"17013%2Api%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >) </SPAN>\n" );
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