document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181627>Question 181627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A regulation tennis ball has a diameter of 2 1/2 inches. Find the volume necessary to store 12 tennis balls.Round answer to the nearest integer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136265 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=136265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A regulation tennis ball has a diameter of 2 1/2 inches. Find the volume necessary to store 12 tennis balls.Round answer to the nearest integer.<BR>\n" );
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document.write( "First, find the volume of a tennis ball.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+4%2Api%2Ar%5E3%2F3 ALIGN=MIDDLE  ALT=\"V+=+4%2Api%2Ar%5E3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+4%2Api%2A%282.5%2F2%29%5E3%2F3 ALIGN=MIDDLE  ALT=\"V+=+4%2Api%2A%282.5%2F2%29%5E3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V =~ 8.18123 cubic inches<BR>\n" );
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document.write( "If 12 are packed into a cylinder, like the cans tennis balls are sold in, the volume would be 12 times the volume of a ball, <BR>\n" );
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document.write( "or ~98.175 cubic inches.  I suspect that's the answer expected.  <BR>\n" );
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document.write( "However, that's the volume of the 12 balls.  To put them into a cylinder, the cylinder would have in ID (inside diameter) of 2.5 inches, and it would be  12 times the diameter of a ball, or 30 inches.<BR>\n" );
document.write( "For a cylinder,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"V+=+pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+pi%2A1.25%5E2%2A30 ALIGN=MIDDLE  ALT=\"V+=+pi%2A1.25%5E2%2A30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V = ~147.26 cubic inches.<BR>\n" );
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document.write( "If they're packed some other way, the volume necessary can be reduced IF a container is made that conforms to the outside surface of the balls, but it's a complex problem.  For example, if they're stacked with 5, 4 and 3 in rows, the volume needed might be reduced.  I doubt the problem expects to go into that, plus it would be difficult to pack them under pressure if they're in a container other than a cylinder.  Tennis balls are sold in pressurized cans.<BR>\n" );
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