document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1138274>Question 1138274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The altitude of a regular cone is twice its base radius. if its volume is 3,400 cubic meter what is the total surface area? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756122 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=756122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The altitude of a regular cone is twice its base radius. if its volume is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3400 ALIGN=MIDDLE  ALT=\"3400\"   DISABLED_style= \"max-width:90%; height:auto;\" > cubic meter what is the total surface area? \r<BR>\n" );
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document.write( "Since the base of a cone is a circle, the formula for finding the volume of a cone is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%281%2F3%29pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"V=%281%2F3%29pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "given: <BR>\n" );
document.write( "the altitude of a regular cone is twice its base radius:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=2r ALIGN=MIDDLE  ALT=\"h=2r\"   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=volume+is+V=3400 ALIGN=MIDDLE  ALT=\"volume+is+V=3400\"   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=3400=%281%2F3%29pi%2Ar%5E2%2A2r ALIGN=MIDDLE  ALT=\"3400=%281%2F3%29pi%2Ar%5E2%2A2r\"   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=3400=%282pi%2F3%29r%5E3+ ALIGN=MIDDLE  ALT=\"3400=%282pi%2F3%29r%5E3+\"   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=r%5E3=3400%2F%282%2F3%29pi ALIGN=MIDDLE  ALT=\"r%5E3=3400%2F%282%2F3%29pi\"   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=r%5E3=%283%2A3400%29%2F2pi ALIGN=MIDDLE  ALT=\"r%5E3=%283%2A3400%29%2F2pi\"   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=r%5E3=5100%2Fpi ALIGN=MIDDLE  ALT=\"r%5E3=5100%2Fpi\"   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=r=root%283%2C5100%2Fpi%29 ALIGN=MIDDLE  ALT=\"r=root%283%2C5100%2Fpi%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=r=11.75 ALIGN=MIDDLE  ALT=\"r=11.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The total surface area of a cone is the sum of the area of its base and the lateral (side) surface.\r<BR>\n" );
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document.write( "the formula for the lateral surface area of a right cone is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L_S_A=+pi%2Ar%2Al ALIGN=MIDDLE  ALT=\"L_S_A=+pi%2Ar%2Al\"   DISABLED_style= \"max-width:90%; height:auto;\" > , where l is the slant height of the cone \r<BR>\n" );
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document.write( "use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find the slant height <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l ALIGN=MIDDLE  ALT=\"l\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=sqrt%28r%5E2%2Bh%5E2%29 ALIGN=MIDDLE  ALT=\"l=sqrt%28r%5E2%2Bh%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=l=sqrt%2811.75%5E2%2B%282%2A11.75%29%5E2%29 ALIGN=MIDDLE  ALT=\"l=sqrt%2811.75%5E2%2B%282%2A11.75%29%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=l=26.27 ALIGN=MIDDLE  ALT=\"l=26.27\"   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_S_A=+pi%2A11.75%2A26.27 ALIGN=MIDDLE  ALT=\"L_S_A=+pi%2A11.75%2A26.27\"   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_S_A=+969.72cm%5E2 ALIGN=MIDDLE  ALT=\"L_S_A=+969.72cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "area of the base: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B_A=r%5E2pi ALIGN=MIDDLE  ALT=\"B_A=r%5E2pi\"   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=B_A=11.75%5E2%2Api ALIGN=MIDDLE  ALT=\"B_A=11.75%5E2%2Api\"   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=B_A=433.74cm%5E2 ALIGN=MIDDLE  ALT=\"B_A=433.74cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=>The total surface area of a cone is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=B_A%2BL_S_A ALIGN=MIDDLE  ALT=\"A=B_A%2BL_S_A\"   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=A=433.74cm%5E2%2B969.72cm%5E2 ALIGN=MIDDLE  ALT=\"A=433.74cm%5E2%2B969.72cm%5E2\"   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=A=1403.46cm%5E2 ALIGN=MIDDLE  ALT=\"A=1403.46cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );