document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=96671>Question 96671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We have word problems that we have to take them and use an equation to figure out the answer.  COuld you please help me with the following problem?  A storage bin for corn consists of a cylindrical section made of wire mesh, surmounted by a conical tin roof.  The height of the roof is one-third the entire height of the structure.  If the total volume of the structure is 1400 pi ft^3 and its radius is 10 ft, what is its height? \r<BR>\n" );
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document.write( "I have tried to make an equation but im not sure if I am heading in the right direction.  I took the formula for the cylinder and added it with the forlmula for the cone and set them equall to 1400 pi.  Then I was going to solve for h, but i got stuck right there.  Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70397 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=70397\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let h=height ... (cylinder volume)+(cone volume)=1400pi\r<BR>\n" );
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document.write( "pi(10^2)(2h/3)+(pi(10^2)(h/3))/3=1400pi ... dividing by 100pi gives (2h/3)+(h/3)/3=14\r<BR>\n" );
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document.write( "(6h/9)+(h/9)=14 ... 7h=14*9 ... h=18 </SPAN>\n" );
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