document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207242>Question 1207242</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cylindrical can holds three tennis balls. each ball has a diameter of 6 cm, which is the same diameter as the cylinder, and the cylinder is filled to the top. Calculate the volume of space in the cylinder not taken up by the tennis balls. Round to the nearest cubic centimeter<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845001 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52782)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845001\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A cylindrical can holds three tennis balls. each ball has a diameter of 6 cm, <BR>\n" );
document.write( "which is the same diameter as the cylinder, and the cylinder is filled to the <BR>\n" );
document.write( "top. Calculate the volume of space in the cylinder not taken up by the tennis <BR>\n" );
document.write( "balls. Round to the nearest cubic centimeter<BR>\n" );
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document.write( "The formula in the post by @josgarithmetic for the empty volume\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2Api%2A%286%2F2%29%5E2-%284%2F3%29pi%2A%286%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"18%2Api%2A%286%2F2%29%5E2-%284%2F3%29pi%2A%286%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;cubic centimeters\r<BR>\n" );
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document.write( "is &nbsp;FATALLY &nbsp;INCORRECT. &nbsp;A correct formula is\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2Api%2A%286%2F2%29%5E2-3%2A%284%2F3%29pi%2A%286%2F2%29%5E3 ALIGN=MIDDLE  ALT=\"18%2Api%2A%286%2F2%29%5E2-3%2A%284%2F3%29pi%2A%286%2F2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;cubic centimeters.\r<BR>\n" );
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document.write( "It gives the value of  &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.14159265%2A%2818%2A%286%2F2%29%5E2-3%2A%284%2F3%29%2A%286%2F2%29%5E3%29 ALIGN=MIDDLE  ALT=\"3.14159265%2A%2818%2A%286%2F2%29%5E2-3%2A%284%2F3%29%2A%286%2F2%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 339.292 &nbsp;cm^3.\r<BR>\n" );
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document.write( "Notice that for the given configuration, the empty space is exactly half of the occupied space.\r<BR>\n" );
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document.write( "It was known just to &nbsp;Archimedes about &nbsp;2300 &nbsp;years ago, &nbsp;when he discovered the formula for the volume of a sphere.\r<BR>\n" );
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