document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153242>Question 1153242</A>: <I><SPAN STYLE=\"word-break: break-all;\">  If the two equal-sized scoops of ice cream melt completely into the cone, will they overflow the cone? The diameter of the ice cream scoop is equal to the diameter of the cone’s opening. Assume that there is no additional ice cream within the cone. Explain your answer. If the ice cream overflows, approximately how much ice cream will overflow? If the ice cream does not overflow, how much room will be approximately left in the cone? Round to the nearest hundredth.  <BR>\n" );
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document.write( "need help with the problem </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #775433 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=775433\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Depends on the dimensions of the cone, specifically  the height of it.\r<BR>\n" );
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document.write( "Since dimensions are not given, we can say that if her ice cream melts of the ice cream will <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=not ALIGN=MIDDLE  ALT=\"not\"   DISABLED_style= \"max-width:90%; height:auto;\" >overflow out of the cone only if  the volume of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >ice cream scoops is same as the volume of the cone.\r<BR>\n" );
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document.write( "Assume the ice cream scoop is a sphere of radius <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches and then the top of the cone will also have radius <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches. <BR>\n" );
document.write( "Suppose the height of the cone 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;\" > inches. You need to find out if the volume of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > scoops of ice cream is equal the volume of the cone.\r<BR>\n" );
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document.write( "the volume of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > scoops (spheres ): \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Bs%5D=2%2A%284%2F3%29pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"V%5Bs%5D=2%2A%284%2F3%29pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the volume of the cone:  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Bc%5D=%281%2F3%29pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"V%5Bc%5D=%281%2F3%29pi%2Ar%5E2%2Ah\"   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=2%284%2F3%29pi%2Ar%5E3=%281%2F3%29pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"2%284%2F3%29pi%2Ar%5E3=%281%2F3%29pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >........solve for<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h ALIGN=MIDDLE  ALT=\"+h\"   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=%288%2F3%29pi%2Ar%5E3=%281%2F3%29pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"%288%2F3%29pi%2Ar%5E3=%281%2F3%29pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >........simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2F3%29%2Ar=%281%2F3%29%2Ah ALIGN=MIDDLE  ALT=\"%288%2F3%29%2Ar=%281%2F3%29%2Ah\"   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=%288%2F3%29%2Ar%2F%281%2F3%29 ALIGN=MIDDLE  ALT=\"h=%288%2F3%29%2Ar%2F%281%2F3%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+=+8r ALIGN=MIDDLE  ALT=\"h+=+8r\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If her ice cream melts of the ice cream will <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=not ALIGN=MIDDLE  ALT=\"not\"   DISABLED_style= \"max-width:90%; height:auto;\" >overflow out of the cone only if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+8r ALIGN=MIDDLE  ALT=\"h+=+8r\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "only if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+8r ALIGN=MIDDLE  ALT=\"h+=+8r\"   DISABLED_style= \"max-width:90%; height:auto;\" > both volumes are same:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Bs%5D=%288%2F3%29pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"V%5Bs%5D=%288%2F3%29pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Bc%5D=%281%2F3%29pi%2Ar%5E2%2A8r=%288%2F3%29pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"V%5Bc%5D=%281%2F3%29pi%2Ar%5E2%2A8r=%288%2F3%29pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "  .<BR>\n" );
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