document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=587207>Question 587207</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cube is 8 inches on each side.  What is the height of a cylinder having the same volume, if its radius is 4 inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374027 by </B><A HREF=/tutors/aboutme.mpl?userid=Schaman_Dempster><B>Schaman_Dempster(26)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Schaman_Dempster><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=Schaman_Dempster><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=374027\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We know that side length of a cube is 8 inches.\r<BR>\n" );
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document.write( "Volume of the cube = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28side+length%29%5E3+ ALIGN=MIDDLE  ALT=\"+%28side+length%29%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     V(cube) =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%5E3+ ALIGN=MIDDLE  ALT=\"+8%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     V(cube) = 512 cubic inches\r<BR>\n" );
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document.write( "WE know that the radius of the cylinder is r = 4 inches and let the height of the cylinder be h inches.<BR>\n" );
document.write( "Volume of the cylinder = &#960;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5E2%2Ah+ ALIGN=MIDDLE  ALT=\"+r%5E2%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V(cylinder) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi%2A4%5E2%2Ah+ ALIGN=MIDDLE  ALT=\"+pi%2A4%5E2%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V(cylinder) = 16&#960;h\r<BR>\n" );
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document.write( "Since the volume of cube and cylinder are same, so\r<BR>\n" );
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document.write( "V(cylinder) = V(cube)<BR>\n" );
document.write( "or   16&#960;h = 512<BR>\n" );
document.write( "or    &#960;h = 512/16  {Dividing both the sides by 16}<BR>\n" );
document.write( "or  &#960;h = 32<BR>\n" );
document.write( "or h = 32/&#960;  inches \r<BR>\n" );
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document.write( "If we wish to get the decimal value fo h, we can use the standard value of &#960; = 3.14\r<BR>\n" );
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document.write( "Therefore,  h = 32/&#960; = 32/3.14<BR>\n" );
document.write( "or  h = 10.189<BR>\n" );
document.write( "or  h = 10.2 inches (approximately)\r<BR>\n" );
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document.write( "Hope this helps~! </SPAN>\n" );
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