document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167048>Question 1167048</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right circular cylinder of radius r and height h has volume given by V=πr^2h and surface area given by A=2πr^2+2πrh. A manufacturer must design a cylindrical can that can hold 800π cubic cm of liquid. Express the amount of matrial needed to make the can as a function of its radius, r.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #791632 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=791632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A right circular cylinder of radius r and height h has volume given by V=πr^2h and surface area given by A=2πr^2+2πrh.<BR>\n" );
document.write( " A manufacturer must design a cylindrical can that can hold 800π cubic cm of liquid.<BR>\n" );
document.write( " Express the amount of material needed to make the can as a function of its radius, r.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Volume<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2Ah+=+800pi ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2Ah+=+800pi\"   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+=+800 ALIGN=MIDDLE  ALT=\"r%5E2%2Ah+=+800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+800%2Fr%5E2 ALIGN=MIDDLE  ALT=\"h+=+800%2Fr%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Area<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%282pi%2Ar%5E2%29+%2B+%282pi%2Ar%2Ah%29 ALIGN=MIDDLE  ALT=\"A+=+%282pi%2Ar%5E2%29+%2B+%282pi%2Ar%2Ah%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "replace h with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=800%2Fr%5E2 ALIGN=MIDDLE  ALT=\"800%2Fr%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%282pi%2Ar%5E2%29+%2B+%282pi%2Ar%2A%28800%2Fr%5E2%29%29 ALIGN=MIDDLE  ALT=\"A+=+%282pi%2Ar%5E2%29+%2B+%282pi%2Ar%2A%28800%2Fr%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel r<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%282pi%2Ar%5E2%29+%2B+%282%2Api%2A%28800%2Fr%29%29 ALIGN=MIDDLE  ALT=\"A+=+%282pi%2Ar%5E2%29+%2B+%282%2Api%2A%28800%2Fr%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+2pi%2A%28r%5E2%2B%28800%2Fr%29%29 ALIGN=MIDDLE  ALT=\"A+=+2pi%2A%28r%5E2%2B%28800%2Fr%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > amt of material as a function of r<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );