document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=951962>Question 951962</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by 10%, and the height remains the same.\r<BR>\n" );
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document.write( "By what percentage does the volume of the can increase from the smaller can to the larger can? Round your answer to the nearest percent.\r<BR>\n" );
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document.write( "PLEASE HELP!!! IM so confused....  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #581383 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=581383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by 10%, and the height remains the same.<BR>\n" );
document.write( "By what percentage does the volume of the can increase from the smaller can to the larger can? Round your answer to the nearest percent.<BR>\n" );
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document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you increase the diameter by 10%, you also increase the radius by 10%<BR>\n" );
document.write( "Assume the radius is 1, then if it is increased by 10% it will 1.1<BR>\n" );
document.write( "Note that in the volume equation, the radius is squared therefore it will be<BR>\n" );
document.write( "1.1^2 which equals 1.21; that is an increase in volume of 21%<BR>\n" );
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document.write( "Let's prove that. let the radius = 10 and h = 20, find the volume<BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A10%5E2%2A20 ALIGN=MIDDLE  ALT=\"pi%2A10%5E2%2A20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6283 cu/cm<BR>\n" );
document.write( "Now increase the radius by 10%, then the radius = 11, h is still 20<BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A11%5E2%2A20 ALIGN=MIDDLE  ALT=\"pi%2A11%5E2%2A20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 7603 cu/cm<BR>\n" );
document.write( "Find the increase in volume<BR>\n" );
document.write( "7603 - 6283 = 1320 cu/cm increase<BR>\n" );
document.write( "Find the percent increase<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1320%2F6283 ALIGN=MIDDLE  ALT=\"1320%2F6283\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 100 = 21%<BR>\n" );
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document.write( "Did this unconfuse you somewhat? ankor@att.net </SPAN>\n" );
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