document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95605>Question 95605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of a can of soup is 144 PI inches cubed. The radius of the can is 6 inches.  What is the height of the can?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69658 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=69658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given that the volume of a cylindrical can is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2Api ALIGN=MIDDLE  ALT=\"144%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" > cubic inches<BR>\n" );
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document.write( "and also given that the radius of the can is 6 inches.<BR>\n" );
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document.write( "To find the height of the can you can begin by noting that the formula for finding the volume V<BR>\n" );
document.write( "of a cylinder is based on multiplying the area A of the circular base of the cylinder times<BR>\n" );
document.write( "the height H. In equation form this is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+A+%2A+H ALIGN=MIDDLE  ALT=\"V+=+A+%2A+H\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and because A (the area of the circular base) can be found from the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+pi%2AR%5E2 ALIGN=MIDDLE  ALT=\"A+=+pi%2AR%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in<BR>\n" );
document.write( "which R is the radius of the circle, we can substitute this value for A into the Volume formula<BR>\n" );
document.write( "to get:<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( "The problem tells you that the value of R is 6 inches and the value of V is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2Api ALIGN=MIDDLE  ALT=\"144%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "Substitute these values into the equation and you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2Api+=+pi%2A6%5E2%2AH ALIGN=MIDDLE  ALT=\"144%2Api+=+pi%2A6%5E2%2AH\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a factor on both sides you can divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > to cancel<BR>\n" );
document.write( "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;\" > and reduce the equation to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144+=+6%5E2+%2AH ALIGN=MIDDLE  ALT=\"144+=+6%5E2+%2AH\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now recognize that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E2+=+36 ALIGN=MIDDLE  ALT=\"6%5E2+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute 36 into the equation and get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144+=+36%2AH ALIGN=MIDDLE  ALT=\"144+=+36%2AH\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve for H by dividing both sides by 36 to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2F36+=+H ALIGN=MIDDLE  ALT=\"144%2F36+=+H\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and this divides out evenly to give you that:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H+=+4 ALIGN=MIDDLE  ALT=\"H+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "Since every dimension was in inches you know that the height H is 4 inches.<BR>\n" );
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document.write( "Hope this helps you to understand the problem and a way that you can work it.<BR>\n" );
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