document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=678036>Question 678036</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A propane gas tank is in the shape of a right circular cylinder with a hemisphere at each end. If the overall length of the tank is 20 ft and the voulme is 50 pie cubic ft, find the common radius of the hemispheres and the cylinder. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #421223 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=421223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A propane gas tank is in the shape of a right circular cylinder with a hemisphere at each end.<BR>\n" );
document.write( " If the overall length of the tank is 20 ft and the volume is 50 pie cubic ft,<BR>\n" );
document.write( " find the common radius of the hemispheres and the cylinder.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let r = the common radius<BR>\n" );
document.write( "The length of the cylinder portion = (20-2r)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "hemisphere volumes + cylinder portion = 50pi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2820-2r%29 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2820-2r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2Api ALIGN=MIDDLE  ALT=\"50%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide thru by pi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3 ALIGN=MIDDLE  ALT=\"r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2%2820-2r%29 ALIGN=MIDDLE  ALT=\"r%5E2%2820-2r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 50<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3 ALIGN=MIDDLE  ALT=\"r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20r%5E2-2r%5E3%29 ALIGN=MIDDLE  ALT=\"20r%5E2-2r%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 50<BR>\n" );
document.write( "multiply by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4r%5E3+%2B+3%2820r%5E2-2r%5E3%29 ALIGN=MIDDLE  ALT=\"4r%5E3+%2B+3%2820r%5E2-2r%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3(50)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4r%5E3+%2B+60r%5E2+-+6r%5E3 ALIGN=MIDDLE  ALT=\"4r%5E3+%2B+60r%5E2+-+6r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 150<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2r%5E3+%2B+60r%5E2+-+150 ALIGN=MIDDLE  ALT=\"-2r%5E3+%2B+60r%5E2+-+150\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( "simplify, divide by -2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3+-+30r%5E2+%2B+75 ALIGN=MIDDLE  ALT=\"r%5E3+-+30r%5E2+%2B+75\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "solve it graphically<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-5%2C+5%2C+-100%2C+100%2C+x%5E3-30x%5E2%2B75%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-5%2C+5%2C+-100%2C+100%2C+x%5E3-30x%5E2%2B75%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "r = 1.626 ft, is the common radius<BR>\n" );
document.write( " </SPAN>\n" );
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