document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180609>Question 1180609</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cone and a hemisphere of equal surface area each<BR>\n" );
document.write( "have a 3-inch radius. What is the height Of the<BR>\n" );
document.write( "cone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #810327 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=810327\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "and a hemisphere of equal surface area each have a 3-inch radius. what is the height of the cone?\r<BR>\n" );
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document.write( "SA = pi*r^2 + pi*rl\r<BR>\n" );
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document.write( "Where,<BR>\n" );
document.write( "r is the radius<BR>\n" );
document.write( "h is the height<BR>\n" );
document.write( "l is the slant height\r<BR>\n" );
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document.write( "given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=3 ALIGN=MIDDLE  ALT=\"r=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA+=+pi%2A3%5E2+%2B+pi%2A3%2Al ALIGN=MIDDLE  ALT=\"SA+=+pi%2A3%5E2+%2B+pi%2A3%2Al\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA+=+9pi+%2B+3pi%2Al ALIGN=MIDDLE  ALT=\"SA+=+9pi+%2B+3pi%2Al\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq.1\r<BR>\n" );
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document.write( "surface area of a hemisphere  SA = 3pi*r^2 \r<BR>\n" );
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document.write( "given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=3 ALIGN=MIDDLE  ALT=\"r=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA+=+3pi%2A3%5E2 ALIGN=MIDDLE  ALT=\"SA+=+3pi%2A3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA+=+27pi ALIGN=MIDDLE  ALT=\"SA+=+27pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........eq.2\r<BR>\n" );
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document.write( "from eq.1 and eq.2 we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9pi+%2B+3pi%2Al=27pi ALIGN=MIDDLE  ALT=\"9pi+%2B+3pi%2Al=27pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >...divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3pi+%2B+pi%2Al=9pi ALIGN=MIDDLE  ALT=\"3pi+%2B+pi%2Al=9pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=9pi-3pi ALIGN=MIDDLE  ALT=\"l=9pi-3pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=6pi%2F+pi ALIGN=MIDDLE  ALT=\"l=6pi%2F+pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=6 ALIGN=MIDDLE  ALT=\"l=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> slant height\r<BR>\n" );
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document.write( "the height of the cone will be\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%286%5E2-3%5E2%29 ALIGN=MIDDLE  ALT=\"h=sqrt%286%5E2-3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%2836-9%29 ALIGN=MIDDLE  ALT=\"h=sqrt%2836-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%2825%29 ALIGN=MIDDLE  ALT=\"h=sqrt%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=5 ALIGN=MIDDLE  ALT=\"h=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " the height of the cone is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5in ALIGN=MIDDLE  ALT=\"5in\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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