document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=122723>Question 122723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having a hard time with this question...Solve the following formulas for the given variable  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=IIr%5E2h+solve+for+h ALIGN=MIDDLE  ALT=\"V=IIr%5E2h+solve+for+h\"   DISABLED_style= \"max-width:90%; height:auto;\" > The help would be greatly appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90153 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=90153\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"V+=+pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve for h.<BR>\n" );
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document.write( "On the right side recognize that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > is multiplied by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. If you divided the<BR>\n" );
document.write( "right side by this multiplier, the right side would become:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28pi%2Ar%5E2%29%2Ah%29%2F%28pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"%28%28pi%2Ar%5E2%29%2Ah%29%2F%28pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "But if you divide the right side of an equation by some quantity, you must also divide the<BR>\n" );
document.write( "left side by the same quantity to keep the equation in balance. So to keep the given equation<BR>\n" );
document.write( "in balance, when we divide the right side by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > we also divide the left side <BR>\n" );
document.write( "by the same quantity and the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%2F%28pi%2Ar%5E2%29=+%28%28pi%2Ar%5E2%29%2Ah%29%2F%28pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"V%2F%28pi%2Ar%5E2%29=+%28%28pi%2Ar%5E2%29%2Ah%29%2F%28pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "On the right side the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the numerator cancels with the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the denominator,<BR>\n" );
document.write( "and the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2 ALIGN=MIDDLE  ALT=\"r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the numerator cancels with the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2 ALIGN=MIDDLE  ALT=\"r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the denominator. <BR>\n" );
document.write( "As a result of these cancellations, all you are left with on the right side is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Therefore,<BR>\n" );
document.write( "the equation is reduced to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%2F%28pi%2Ar%5E2%29+=+h ALIGN=MIDDLE  ALT=\"V%2F%28pi%2Ar%5E2%29+=+h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "And if you transpose the equation (switch sides) you are left with:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+V%2F%28pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"h+=+V%2F%28pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and this is what the problem asked you to do ... to solve for h in terms of the other variables<BR>\n" );
document.write( "given in the problem.<BR>\n" );
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document.write( "Hope this helps you to understand the problem and how you can solve it.<BR>\n" );
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