document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548865>Question 548865</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lumber company needs to estimate the volume of wood a load of timber will produce.The supervisor knows that the volume of wood in a tree varies jointly as the height h and the square of the tree's girth g.The supervisor observes that a tree 40 meters tall with a girth of 1.5 meters produces 288 cubic meters of wood.<BR>\n" );
document.write( "a)Write an equation that represents this situation.<BR>\n" );
document.write( "b)What volume of wood can the supervisor expect to obtain from 50 trees averaging 75 meters in height and 2 meters in girth? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357246 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=357246\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A lumber company needs to estimate the volume of wood a load of timber will produce. The supervisor knows that the volume of wood in a tree varies jointly as the height h and the square of the tree's girth g.<BR>\n" );
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document.write( "v = k*h*g^2<BR>\n" );
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document.write( "Solve for \"k\" using \"The supervisor observes that a tree 40 meters tall with a girth of 1.5 meters produces 288 cubic meters of wood.\"<BR>\n" );
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document.write( "288 = k*40*1.5^2<BR>\n" );
document.write( "k = 288/(40*1.5^2) = 3.2<BR>\n" );
document.write( "------\r<BR>\n" );
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document.write( "a)Write an equation that represents this situation.<BR>\n" );
document.write( "v = 3.2*h*g^2<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "b)What volume of wood can the supervisor expect to obtain from 50 trees averaging 75 meters in height and 2 meters in girth?<BR>\n" );
document.write( "v(1 tree) = 3.2*75*2^2 = 960 cu meters<BR>\n" );
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document.write( "v(50 trees) = 50*960 = 48000 cu meters<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=============<BR>\n" );
document.write( " </SPAN>\n" );
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