document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=818642>Question 818642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please I need help 12th grade AP algebra, I tried several ways. Problem: A storage bin consists of a cylindrical section for storing grain, with a conical roof. The height of the roof is one-third of the total height and the radius is 10 feet. The volume of the storage bin is 1000 cubic feet. Find the height. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492748 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=492748\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A storage bin consists of a cylindrical section for storing grain, with a conical roof.<BR>\n" );
document.write( " The height of the roof is one-third of the total height and the radius is 10 feet. <BR>\n" );
document.write( "The volume of the storage bin is 1000 cubic feet. Find the height.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = the height of roof<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2x = the height of the cylindrical section<BR>\n" );
document.write( "and<BR>\n" );
document.write( "3x = the total height<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Cylinder Vol + Cone vol = 1000<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A10%5E2%2A2x ALIGN=MIDDLE  ALT=\"pi%2A10%5E2%2A2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A10%5E2%2Ax ALIGN=MIDDLE  ALT=\"pi%2A10%5E2%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1000<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A200x ALIGN=MIDDLE  ALT=\"pi%2A200x\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A100x ALIGN=MIDDLE  ALT=\"pi%2A100x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1000<BR>\n" );
document.write( "Divide thru by 100<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A2x ALIGN=MIDDLE  ALT=\"pi%2A2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ax ALIGN=MIDDLE  ALT=\"pi%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10<BR>\n" );
document.write( "multiply by 3 to get rid of the fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28pi%2A2x%29 ALIGN=MIDDLE  ALT=\"3%28pi%2A2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ax ALIGN=MIDDLE  ALT=\"pi%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 30<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6pi%2Ax%29 ALIGN=MIDDLE  ALT=\"6pi%2Ax%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ax ALIGN=MIDDLE  ALT=\"pi%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 30<BR>\n" );
document.write( "combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7pi%2Ax ALIGN=MIDDLE  ALT=\"7pi%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 30<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F%287pi%29 ALIGN=MIDDLE  ALT=\"30%2F%287pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 1.364 ft is the height of the roof<BR>\n" );
document.write( "3*1.364 ~4.1 ft is the height of the bin<BR>\n" );
document.write( ":<BR>\n" );
document.write( "This sounds kind of small, check it, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A10%5E2%2A2.73 ALIGN=MIDDLE  ALT=\"pi%2A10%5E2%2A2.73\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 857 cu/ft, cylindrical part<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2An10%5E2%2A1.364 ALIGN=MIDDLE  ALT=\"pi%2An10%5E2%2A1.364\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 143 cu/ft cone part<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Total volume 1000 so guess it's right\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );