document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1073925>Question 1073925</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an 18-oz jar of peanut butter in the shape of a right circular cylinder is 5in high and 3in. in diameter and sells for $2.89. In the same store, a 22-oz jar of the same brand is 5 1/4 in. high and 3 1/4 in. in diameter. If the cost is directly proportional to volume, what should the price of the larger jar be? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #688732 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=688732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Calculating volumes is <b>not</b> necessary.  The same peanut butter would have the same density, no matter the net contents in a jar.  The \"weight\" or masses are given and those alone should be enough information.\r<BR>\n" );
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document.write( "If as given the price is based only on volume  ( or on mass ), then <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F2.89=22%2Fx ALIGN=MIDDLE  ALT=\"18%2F2.89=22%2Fx\"   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=18x=2.89%2A22 ALIGN=MIDDLE  ALT=\"18x=2.89%2A22\"   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=x=%282.89%2A22%29%2F18 ALIGN=MIDDLE  ALT=\"x=%282.89%2A22%29%2F18\"   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=x=3.53 ALIGN=MIDDLE  ALT=\"x=3.53\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The 22 ounce jar is  $3.53.<BR>\n" );
document.write( "WRONG ASSUMPTION!\r<BR>\n" );
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document.write( "IF the price IS based on volumes then the assumption just used above does not work.<BR>\n" );
document.write( "volume for cylinder,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2A2%2Api%2Ar ALIGN=MIDDLE  ALT=\"h%2A2%2Api%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" > for height h and radius r.<BR>\n" );
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document.write( "The 18-oz jar is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2845%2F4%29pi ALIGN=MIDDLE  ALT=\"%2845%2F4%29pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > or about 11.25pi cubic.inch.<BR>\n" );
document.write( "The 22-oz jar is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283549%2F256%29pi ALIGN=MIDDLE  ALT=\"%283549%2F256%29pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > or about 13.863pi cubic. inch.\r<BR>\n" );
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document.write( "Price of the 22-oz jar<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813.863%2F11.25%29%282.89%29 ALIGN=MIDDLE  ALT=\"%2813.863%2F11.25%29%282.89%29\"   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=highlight%283.56%2Adollars%29 ALIGN=MIDDLE  ALT=\"highlight%283.56%2Adollars%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "$3.56 dollars </SPAN>\n" );
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