document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891333>Question 891333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cost of a Can. A can in the shape of a right circular cylinder is required to have a volume of 500 cubic centimeters. The top and bottom are made of material that costs 6 cents per square centimeter, while the sides are made of material that costs 4 cents per square centimeter. Express the total cost C of the material as a function of the radius r of the cylinder. What will the cost be if the radius is 10 centimeters?\r<BR>\n" );
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document.write( "Please help and/or give me an example on how to solve this particular problem. I thank you in advance. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539656 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=539656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> v = volume<BR>\n" );
document.write( "r = radius<BR>\n" );
document.write( "h =length of can or could be consdired as height<BR>\n" );
document.write( "S = surface area<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"v=pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=2%2Api%2Ar%5E2%2Bh%2A2pi%2Ar ALIGN=MIDDLE  ALT=\"S=2%2Api%2Ar%5E2%2Bh%2A2pi%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You want S as a function of r, and you know v is a given constant, but h is unknown.  You can use the v equation and solve for h and therefore eliminate h as a variable in the s equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=v%2F%28pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"h=v%2F%28pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=2pi%2Ar%5E2%2B%28v%2F%28pi%2Ar%5E2%29%292pi%2Ar ALIGN=MIDDLE  ALT=\"S=2pi%2Ar%5E2%2B%28v%2F%28pi%2Ar%5E2%29%292pi%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=2pi%2Ar%5E2%2B%282pi%2Ar%2Av%29%2Fr%5E2 ALIGN=MIDDLE  ALT=\"S=2pi%2Ar%5E2%2B%282pi%2Ar%2Av%29%2Fr%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28S=2pi%2Ar%5E2%2B2pi%2Av%2Fr%29 ALIGN=MIDDLE  ALT=\"highlight%28S=2pi%2Ar%5E2%2B2pi%2Av%2Fr%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The cost of the can is only slightly more complicated.  Track from where each term came.  The top and bottom EACH is <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;\" >.  The circular shaped side is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi%2Av%2Fr ALIGN=MIDDLE  ALT=\"2pi%2Av%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28C=6%282pi%2Ar%5E2%29%2B4%282pi%2Av%2Fr%29%29 ALIGN=MIDDLE  ALT=\"highlight%28C=6%282pi%2Ar%5E2%29%2B4%282pi%2Av%2Fr%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Simply substitute your needed values for r, and v, and compute the value for C as cents for the can. </SPAN>\n" );
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