document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=744763>Question 744763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a<BR>\n" );
document.write( "cylindrical tennis<BR>\n" );
document.write( "ball container can<BR>\n" );
document.write( "contain maximum<BR>\n" );
document.write( "three ball stacked<BR>\n" );
document.write( "on one another.the<BR>\n" );
document.write( "top and bottom ball<BR>\n" );
document.write( "also touch the lid<BR>\n" );
document.write( "and the base of the<BR>\n" );
document.write( "container<BR>\n" );
document.write( "respectively if the<BR>\n" );
document.write( "volume of a tennis<BR>\n" );
document.write( "ball is 240 cm,then<BR>\n" );
document.write( "what is the volume<BR>\n" );
document.write( "of the container? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453543 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=453543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given:<BR>\n" );
document.write( "cylindrical tennis ball container can contain maximum three ball stacked<BR>\n" );
document.write( "on one another\r<BR>\n" );
document.write( "\n" );
document.write( "the top and bottom ball also touch the lid and the base of the container<BR>\n" );
document.write( "respectively - means, the sum of diameters of the three tennis balls is equal to height of the cylindrical container\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "a tennis ball is a sphere and the volume of a sphere is <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;\" >; so, if the volume of a tennis ball is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240cm%5E3 ALIGN=MIDDLE  ALT=\"240cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240cm%5E3=%284%2F3%29pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"240cm%5E3=%284%2F3%29pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240cm%5E3%2F%28%284%2F3%29pi%29=r%5E3 ALIGN=MIDDLE  ALT=\"240cm%5E3%2F%28%284%2F3%29pi%29=r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A240cm%5E3%29%2F%284%2A3.14%29=r%5E3 ALIGN=MIDDLE  ALT=\"%283%2A240cm%5E3%29%2F%284%2A3.14%29=r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28720cm%5E3%29%2F12.56=r%5E3 ALIGN=MIDDLE  ALT=\"%28720cm%5E3%29%2F12.56=r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=57.33cm%5E3=r%5E3 ALIGN=MIDDLE  ALT=\"57.33cm%5E3=r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C57.33cm%5E3%29=r ALIGN=MIDDLE  ALT=\"root%283%2C57.33cm%5E3%29=r\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.86cm=r ALIGN=MIDDLE  ALT=\"3.86cm=r\"   DISABLED_style= \"max-width:90%; height:auto;\" >........this is radius and we need diameter:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=2r=2%2A3.86cm=7.72cm ALIGN=MIDDLE  ALT=\"d=2r=2%2A3.86cm=7.72cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now we know that the height of the cylindrical container is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=3d=3%2A7.72cm=23.16cm ALIGN=MIDDLE  ALT=\"h=3d=3%2A7.72cm=23.16cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we know the radius (which is equal to a radius of the tennis ball) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=3.86cm ALIGN=MIDDLE  ALT=\"r=3.86cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " the volume of the container is:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V1=r%5E2pi%2Ah ALIGN=MIDDLE  ALT=\"V1=r%5E2pi%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V1=%283.86cm%29%5E2%2A3.14%2A23.16cm ALIGN=MIDDLE  ALT=\"V1=%283.86cm%29%5E2%2A3.14%2A23.16cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V1=14.8996cm%5E2%2A72.7224cm ALIGN=MIDDLE  ALT=\"V1=14.8996cm%5E2%2A72.7224cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V1=1083.54cm%5E3 ALIGN=MIDDLE  ALT=\"V1=1083.54cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );