document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=612061>Question 612061</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 20. Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylinder. The diameter of each ball is 13 cm.<BR>\n" );
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document.write( "https://www.connexus.com/content/media/461958-3232011-35122-PM-1691221172/res00000/ppg/examview/S_GEOMB_05_Unit_Test/ot020-1.jpg<BR>\n" );
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document.write( "a. What is the volume of the cylinder rounded to the nearest cubed centimeter? <BR>\n" );
document.write( "b. What is the total volume of the three balls rounded to the nearest cubed centimeter ? <BR>\n" );
document.write( "c. What percent of the volume of the container is occupied by the three balls? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #385268 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=385268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The height of the cylinder (h) is three time the diameter of each ball, or:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+3%2813%29 ALIGN=MIDDLE  ALT=\"h+=+3%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+39 ALIGN=MIDDLE  ALT=\"h+=+39\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm.<BR>\n" );
document.write( "The radius of the cross-section of the cylinder is the same as the radius of a ball, or:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+13%2F2 ALIGN=MIDDLE  ALT=\"r+=+13%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+6.5 ALIGN=MIDDLE  ALT=\"r+=+6.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm.<BR>\n" );
document.write( "a) The volume of the cylinder is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Bc%5D+=+%28pi%29r%5E2%2Ah ALIGN=MIDDLE  ALT=\"V%5Bc%5D+=+%28pi%29r%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+6.5 ALIGN=MIDDLE  ALT=\"r+=+6.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+39 ALIGN=MIDDLE  ALT=\"h+=+39\"   DISABLED_style= \"max-width:90%; height:auto;\" > and use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi+=+3.14 ALIGN=MIDDLE  ALT=\"pi+=+3.14\"   DISABLED_style= \"max-width:90%; height:auto;\" > as an approximation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Bc%5D+=+%283.14%29%286.5%29%5E2%2839%29 ALIGN=MIDDLE  ALT=\"V%5Bc%5D+=+%283.14%29%286.5%29%5E2%2839%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Bc%5D+=+5173.935 ALIGN=MIDDLE  ALT=\"V%5Bc%5D+=+5173.935\"   DISABLED_style= \"max-width:90%; height:auto;\" >cu.cm. Round to nearest cubic cm. to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Bc%5D+=+5174 ALIGN=MIDDLE  ALT=\"V%5Bc%5D+=+5174\"   DISABLED_style= \"max-width:90%; height:auto;\" >cu.cm.<BR>\n" );
document.write( "b) The total volume of the three balls is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Bb%5D+=+3%284%2F3%29%28pi%29r%5E3 ALIGN=MIDDLE  ALT=\"V%5Bb%5D+=+3%284%2F3%29%28pi%29r%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%5Bb%5D+=+4%283.14%29%286.5%29%5E3 ALIGN=MIDDLE  ALT=\"V%5Bb%5D+=+4%283.14%29%286.5%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%5Bb%5D+=+3449.29 ALIGN=MIDDLE  ALT=\"V%5Bb%5D+=+3449.29\"   DISABLED_style= \"max-width:90%; height:auto;\" >cu.cm. Round the nearest cubic cm. to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Bb%5D+=+3449 ALIGN=MIDDLE  ALT=\"V%5Bb%5D+=+3449\"   DISABLED_style= \"max-width:90%; height:auto;\" >cu.cm.<BR>\n" );
document.write( "c) The percent volume of the container occupied by the three balls is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%283449%2F5174%29%2A100 ALIGN=MIDDLE  ALT=\"V+=+%283449%2F5174%29%2A100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+66.66%25 ALIGN=MIDDLE  ALT=\"V+=+66.66%25\"   DISABLED_style= \"max-width:90%; height:auto;\" >% </SPAN>\n" );
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