document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117074>Question 117074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the volume of a sphere with a diameter of 20 km.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85142 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=85142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Wow! That's a pretty big sphere. A diameter of 20 km is equivalent to a diameter of almost 12.5 miles!<BR>\n" );
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document.write( "Anyhow, the formula for the volume (V) of a sphere is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%284%2F3%29%2Api%2Ar%5E3 ALIGN=MIDDLE  ALT=\"V+=+%284%2F3%29%2Api%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "where V is the volume and r is the radius of the sphere.<BR>\n" );
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document.write( "If the diameter of a sphere is 20 km, then the radius of that sphere is half that or the radius<BR>\n" );
document.write( "of the given sphere is 10 km.<BR>\n" );
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document.write( "Substituting 10 km for r in the volume equation results in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%284%2F3%29%2Api%2A10%5E3 ALIGN=MIDDLE  ALT=\"V+=+%284%2F3%29%2Api%2A10%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E3+=+10+%2A+10%2A10+=+1000 ALIGN=MIDDLE  ALT=\"10%5E3+=+10+%2A+10%2A10+=+1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This says that we can substitute 1000 for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3 ALIGN=MIDDLE  ALT=\"r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the formula to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%284%2F3%29%2Api%2A1000 ALIGN=MIDDLE  ALT=\"V+=+%284%2F3%29%2Api%2A1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiplying the 1000 times the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29 ALIGN=MIDDLE  ALT=\"%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > results in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284000%2F3%29 ALIGN=MIDDLE  ALT=\"%284000%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and dividing the<BR>\n" );
document.write( "4000 by 3 results in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1333.33333333 ALIGN=MIDDLE  ALT=\"1333.33333333\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substituting 1333.33333333 for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2A1000 ALIGN=MIDDLE  ALT=\"%284%2F3%29%2A1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "reduces the equation to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%281333.33333333%29%2Api ALIGN=MIDDLE  ALT=\"V+=+%281333.33333333%29%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and using a scientific calculator we can multiply out 1333.33333333 times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+4188.790205 ALIGN=MIDDLE  ALT=\"V+=+4188.790205\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "And since the radius was in kilometers this answer is in cubic kilometers. So the answer to<BR>\n" );
document.write( "this problem is:<BR>\n" );
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document.write( "Volume = 4188.790205 cubic kilometers<BR>\n" );
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document.write( "Hope this helps you to understand the problem a little better.<BR>\n" );
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