document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=357126>Question 357126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, tutors,<BR>\n" );
document.write( "I have a problem.\r<BR>\n" );
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document.write( "a spherical weather balloon needs to hold at least 175 cubic feet of helium to be buoyant enough to lift the meteorogical instruments. will a helium-filled balloon with a diameter of 8 feet stay aloft?\r<BR>\n" );
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document.write( "What should I solve this problem? The volume? Please let me know the process about this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #255033 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=255033\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, let's find the actual approximate volume of the sphere with a diameter of 8 ft. Since the diameter is 8 feet, the radius is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=d%2F2=8%2F2=4 ALIGN=MIDDLE  ALT=\"r=d%2F2=8%2F2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=4 ALIGN=MIDDLE  ALT=\"r=4\"   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=V=%284%2F3%29pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"V=%284%2F3%29pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the volume of a sphere formula.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%284%2F3%29pi%2A%284%29%5E3 ALIGN=MIDDLE  ALT=\"V=%284%2F3%29pi%2A%284%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=4 ALIGN=MIDDLE  ALT=\"r=4\"   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=V=%284%2F3%29%283.14159265%29%2A%284%29%5E3 ALIGN=MIDDLE  ALT=\"V=%284%2F3%29%283.14159265%29%2A%284%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.14159265 ALIGN=MIDDLE  ALT=\"3.14159265\"   DISABLED_style= \"max-width:90%; height:auto;\" > (note: Use more digits of <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 better accuracy).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%284%2F3%29%283.14159265%29%2A%2864%29 ALIGN=MIDDLE  ALT=\"V=%284%2F3%29%283.14159265%29%2A%2864%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cube <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64 ALIGN=MIDDLE  ALT=\"64\"   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=V=%284%2F3%29%28201.0619296%29 ALIGN=MIDDLE  ALT=\"V=%284%2F3%29%28201.0619296%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.14159265 ALIGN=MIDDLE  ALT=\"3.14159265\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64 ALIGN=MIDDLE  ALT=\"64\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=201.0619296 ALIGN=MIDDLE  ALT=\"201.0619296\"   DISABLED_style= \"max-width:90%; height:auto;\" > (this figure is approximate).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=268.0825728 ALIGN=MIDDLE  ALT=\"V=268.0825728\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=201.0619296 ALIGN=MIDDLE  ALT=\"201.0619296\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=268.0825728 ALIGN=MIDDLE  ALT=\"268.0825728\"   DISABLED_style= \"max-width:90%; height:auto;\" > (again, this figure is approximate).\r<BR>\n" );
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document.write( "So the approximate volume is 268.0825728 cubic feet which is definitely larger than 175 cubic feet.\r<BR>\n" );
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document.write( "So the balloon will stay aloft. </SPAN>\n" );
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