document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132685>Question 1132685</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun, but occupying less space than our moon. Suppose that one of these black holes has a mass of 1×10^3 suns and a radius equal to one-half the radius of our moon.\r<BR>\n" );
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document.write( "What is the density of the black hole in g/cm^3? The radius of our sun is 7.0×10^5km and it has an average density of 1.4×10^3kg/m^3. The diameter of the moon is 2.16×10^3 miles. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749788 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=749788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The volume of our sun is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+V%5Bs%5D+=+%284%2F3%29%2Api%2Ar%5E3+ ALIGN=MIDDLE  ALT=\"+V%5Bs%5D+=+%284%2F3%29%2Api%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%5Bs%5D+=+%284%2F3%29%2Api%2A%28+7%2A10%5E5+%29%5E3+ ALIGN=MIDDLE  ALT=\"+V%5Bs%5D+=+%284%2F3%29%2Api%2A%28+7%2A10%5E5+%29%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%5Bs%5D+=+%284%2F3%29%2Api%2A343%2A10%5E15+ ALIGN=MIDDLE  ALT=\"+V%5Bs%5D+=+%284%2F3%29%2Api%2A343%2A10%5E15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+V%5Bs%5D+=+457.333%2Api%2A10%5E15+ ALIGN=MIDDLE  ALT=\"+V%5Bs%5D+=+457.333%2Api%2A10%5E15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+V%5Bs%5D+=+1436.755%2A10%5E15+ ALIGN=MIDDLE  ALT=\"+V%5Bs%5D+=+1436.755%2A10%5E15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+V%5Bs%5D+=+1.436755%2A10%5E21+ ALIGN=MIDDLE  ALT=\"+V%5Bs%5D+=+1.436755%2A10%5E21+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km3<BR>\n" );
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document.write( "1 m3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%5E%28-9%29+ ALIGN=MIDDLE  ALT=\"+10%5E%28-9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km3<BR>\n" );
document.write( "[ kg/m3 ] x [ m3 / km3 ] = kg/km3<BR>\n" );
document.write( "The sun's density is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.4%2A10%5E3%2A10%5E9+ ALIGN=MIDDLE  ALT=\"+1.4%2A10%5E3%2A10%5E9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > kg/km3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.4%2A10%5E12+ ALIGN=MIDDLE  ALT=\"+1.4%2A10%5E12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > kg/km3<BR>\n" );
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document.write( "The sun's mass is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.4%2A10%5E12%2A1.436755%2A10%5E21+ ALIGN=MIDDLE  ALT=\"+1.4%2A10%5E12%2A1.436755%2A10%5E21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2.011457%2A10%5E33+ ALIGN=MIDDLE  ALT=\"+2.011457%2A10%5E33+\"   DISABLED_style= \"max-width:90%; height:auto;\" > kg<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%5E3+ ALIGN=MIDDLE  ALT=\"+10%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > suns have a mass:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2.011457%2A10%5E36+ ALIGN=MIDDLE  ALT=\"+2.011457%2A10%5E36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > kg<BR>\n" );
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document.write( "To finish, find volume of the moon in km3<BR>\n" );
document.write( "Using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+V%5Bm%5D+=+%284%2F3%29%2Api%2Ar%5E3+ ALIGN=MIDDLE  ALT=\"+V%5Bm%5D+=+%284%2F3%29%2Api%2Ar%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and divide mass in km to get density in<BR>\n" );
document.write( "kg/km3, then use the conversion:<BR>\n" );
document.write( "[ kg/km3 ] x [ 1000 g / kg ] x [ 1 km3 / 10^9 m3 ] x [ 1 m3 / 10^6 cm3 ]\r<BR>\n" );
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document.write( " </SPAN>\n" );
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