document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=365679>Question 365679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a cylindrical aluminum can has a volume of 500 cubic centimeters. if each square centimeter of aluminum cost .05 cents, express the cost of material for the can as a function of the radius r 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 #260722 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=260722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a cylindrical aluminum can has a volume of 500 cubic centimeters.<BR>\n" );
document.write( " if each square centimeter of aluminum cost .05 cents, express the cost<BR>\n" );
document.write( " of material for the can as a function of the radius r of the can.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the volume equation to get h in terms of r<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;\" > = 500<BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F%28%28pi%2Ar%5E2%29%29 ALIGN=MIDDLE  ALT=\"500%2F%28%28pi%2Ar%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "The surface area of a cylinder including the two ends<BR>\n" );
document.write( "S.A. = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2Ar%2Ah ALIGN=MIDDLE  ALT=\"2%2Api%2Ar%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2Ar%5E2 ALIGN=MIDDLE  ALT=\"2%2Api%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Get the surface area in terms of r, replace h with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F%28%28pi%2Ar%5E2%29%29 ALIGN=MIDDLE  ALT=\"500%2F%28%28pi%2Ar%5E2%29%29\"   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%2A%28500%2F%28pi%2Ar%5E2%29%29 ALIGN=MIDDLE  ALT=\"2%2Api%2Ar%2A%28500%2F%28pi%2Ar%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2Ar%5E2 ALIGN=MIDDLE  ALT=\"2%2Api%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we can cancel pi*r<BR>\n" );
document.write( "S.A. = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28500%2Fr%29 ALIGN=MIDDLE  ALT=\"2%2A%28500%2Fr%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2Ar%5E2 ALIGN=MIDDLE  ALT=\"2%2Api%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor out 2<BR>\n" );
document.write( "S.A. = 2(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28500%2Fr%29+%2B+%28pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"%28500%2Fr%29+%2B+%28pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "To find the cost, multiply by .05<BR>\n" );
document.write( "C(r) = .05*2(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28500%2Fr%29+%2B+%28pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"%28500%2Fr%29+%2B+%28pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "C(r) = .1(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28500%2Fr%29+%2B+%28pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"%28500%2Fr%29+%2B+%28pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >); cost of material in terms of r </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );