document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208651>Question 1208651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A shell station stores it's gasoline in underground tanks that are right circular cylinders lying on their sides. The volume V of gasoline in the tank (in gallons) is given by the formula \r<BR>\n" );
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document.write( "V = (40h^2)(sqrt{(96/h) - 0.607}, where h is the height of the gasoline (in inches) as measured on a depth stick. \r<BR>\n" );
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document.write( "A. Can h be isolated for this formula? \r<BR>\n" );
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document.write( "B. If h = 1 inch, how many gallons of gasoline  are in the tank?\r<BR>\n" );
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document.write( "Let me see.\r<BR>\n" );
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document.write( "I say part A is not possible. There’s no general algebraic formula to solve for h directly. You say?\r<BR>\n" );
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document.write( "For part B, I simply let h = 1 in the formula and evaluate for V.\r<BR>\n" );
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document.write( "You say? \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #847040 by </B><A HREF=/tutors/aboutme.mpl?userid=Shin123><B>Shin123(626)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Shin123><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=Shin123><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=847040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If we try to solve for h, we can expand the right hand side and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=160sqrt%286%29%2Ah%2Asqrt%28h%29-24.28h%5E2 ALIGN=MIDDLE  ALT=\"V=160sqrt%286%29%2Ah%2Asqrt%28h%29-24.28h%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Letting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=sqrt%28h%29 ALIGN=MIDDLE  ALT=\"a=sqrt%28h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-24.28a%5E4%2B160sqrt%286%29%2Aa%5E3-V=0 ALIGN=MIDDLE  ALT=\"-24.28a%5E4%2B160sqrt%286%29%2Aa%5E3-V=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Although it is theoretically possible to isolate h using the quartic formula, that would be incredibly tedious and likely impossible without the help of a computer. </SPAN>\n" );
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