document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=987648>Question 987648</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pipe 11 m long and of radius r = 5 cm is to be coated by insulation material to a thickness of &#948;r = 1 mm. Approximate the volume &#948;V of insulation material required in m^3. \r<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 #608375 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52788)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=608375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "First, &nbsp;estimate the surface area of the tube. &nbsp;Is is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2AL ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2AL\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.14%2A0.05%5E2%2A11 ALIGN=MIDDLE  ALT=\"3.14%2A0.05%5E2%2A11\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.08635 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2 ALIGN=MIDDLE  ALT=\"m%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "To get the volume of the required insulation material, &nbsp;multiply this surface area by the thickness of &nbsp;1 mm = 0.001 m. &nbsp;It gives you the answer:\r<BR>\n" );
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document.write( "0.08635*0.001 = 0.0008635 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E3 ALIGN=MIDDLE  ALT=\"m%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "In cubic centimeters, &nbsp;it is &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0008635%2A10%5E6 ALIGN=MIDDLE  ALT=\"0.0008635%2A10%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 863.5 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E3 ALIGN=MIDDLE  ALT=\"cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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