document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018345>Question 1018345</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 2 cu. ft. of copper is to be made into copper wire 1/8 in. in diameter. How many feet of copper wire is made? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634492 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=634492\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you have 2 cubic feet of copper.\r<BR>\n" );
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document.write( "1 cubic foot = 1 * 1 * 1 feet.\r<BR>\n" );
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document.write( "there are 12 inches to a foot.\r<BR>\n" );
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document.write( "1 cubic foot is therefore equal to 12 * 12 * 12 = 1728 cubic feet.\r<BR>\n" );
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document.write( "2 cubic feet are therefore equal to 3456 cubic inches.\r<BR>\n" );
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document.write( "the diameter of the copper wire is 1/8 inches.\r<BR>\n" );
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document.write( "the radius is therefore equal to 1/8 * 1/2 = 1/16 = .0625 inches.\r<BR>\n" );
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document.write( "the volume of the copper wire is equal to pi * r^2 * h.\r<BR>\n" );
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document.write( "since the volume is 3456 cubic inches, you get:\r<BR>\n" );
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document.write( "3456 = pi * r^2 * h.\r<BR>\n" );
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document.write( "since r = .0625 inches, the formula becomes:\r<BR>\n" );
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document.write( "3456 = pi * .0625^2 * h.\r<BR>\n" );
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document.write( "solve for h to get h = 3456 / pi / .0625^2 = 281620.2155 inches.\r<BR>\n" );
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document.write( "divide that by 12 to get h = 23468.35129 feet.\r<BR>\n" );
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document.write( "we can check the answer by converting the radius from inches to feet and then solving for the volume of the copper wire.\r<BR>\n" );
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document.write( "the radius of the copper wire is .0625 inches.\r<BR>\n" );
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document.write( "divide that by 12 to get the radius of the copper wire is .0052083333 feet.\r<BR>\n" );
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document.write( "the volume of the copper wire is equal to pi * r^2 * h.\r<BR>\n" );
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document.write( "this becomes equal to pi * (.0052083333)^2 * (23468.35129) which is equal to 2 cubic feet.\r<BR>\n" );
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document.write( "that's what it should be, so we can assume we did the math correctly.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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