document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148492>Question 148492</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two similar bottles of 'Sunshine Cola' have lengths that are 12cm and 15cm.<BR>\n" );
document.write( "a) The volume of the large bottle is 1.5 litres. Calculate the volume of the smaller bottle. <BR>\n" );
document.write( "b) The area of the label on the small bottle is 12cm squared. Calculate the area on the label of the large bottle.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108834 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=108834\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well it is a cola in a bottle so we need to find the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22radius%22 ALIGN=MIDDLE  ALT=\"%22radius%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > (very important) that we'll used in the calculations. Next, we'll assume it's a cola in can with cylindrical shape because ther'es no formula for finding area & volume for \"curvature\" bottle (2 curves? 3 curves?, we don't know)<BR>\n" );
document.write( "1)For the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Volume=pi%2Ar%5E2h ALIGN=MIDDLE  ALT=\"Volume=pi%2Ar%5E2h\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the height will be the lengths given.<BR>\n" );
document.write( "Let's follow the following designation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B1%5D=pi%28r%5B1%5D%29%5E2%28h%5B1%5D%29 ALIGN=MIDDLE  ALT=\"V%5B1%5D=pi%28r%5B1%5D%29%5E2%28h%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------------- smaller size<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B2%5D=pi%28r%5B2%5D%29%5E2%28h%5B2%5D%29 ALIGN=MIDDLE  ALT=\"V%5B2%5D=pi%28r%5B2%5D%29%5E2%28h%5B2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------------- bigger size<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B2%5D ALIGN=MIDDLE  ALT=\"V%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is given, we'll solve this first,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15liters=pi%28r%5B2%5D%29%5E2+%2815+centimeters%29 ALIGN=MIDDLE  ALT=\"15liters=pi%28r%5B2%5D%29%5E2+%2815+centimeters%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We have to remember, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1Liter=1000+cm%5E3 ALIGN=MIDDLE  ALT=\"1Liter=1000+cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%5B2%5D%29%5E2=+%281500cm%5E3%29%2F%28pi%2A15cm%29 ALIGN=MIDDLE  ALT=\"%28r%5B2%5D%29%5E2=+%281500cm%5E3%29%2F%28pi%2A15cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B2%5D=sqrt%2832%29 ALIGN=MIDDLE  ALT=\"r%5B2%5D=sqrt%2832%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B2%5D=+6+cm ALIGN=MIDDLE  ALT=\"r%5B2%5D=+6+cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----------> if you want exact =5.6 cm<BR>\n" );
document.write( "And remember <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D=r%5B2%5D ALIGN=MIDDLE  ALT=\"r%5B1%5D=r%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > because they're similar right as stated.<BR>\n" );
document.write( "So for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B1%5D=pi%2856%29%5E2%2812cm%29 ALIGN=MIDDLE  ALT=\"V%5B1%5D=pi%2856%29%5E2%2812cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B1%5D=1182+cm%5E3 ALIGN=MIDDLE  ALT=\"V%5B1%5D=1182+cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 1.18 Liters ---> smaller<BR>\n" );
document.write( "2) for the Area of the bigger cola, we need to get the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area+of+the+ends%2B+Area+of+the+cylindrical+side ALIGN=MIDDLE  ALT=\"Area+of+the+ends%2B+Area+of+the+cylindrical+side\"   DISABLED_style= \"max-width:90%; height:auto;\" >= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D=2pi%28r%5B2%5D%29%5E2+%2B+2pi%28r%5B2%5D%29%28h%5B2%5D%29 ALIGN=MIDDLE  ALT=\"A%5B2%5D=2pi%28r%5B2%5D%29%5E2+%2B+2pi%28r%5B2%5D%29%28h%5B2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D=2pi%2856%29%5E2+%2B+2pi%2856%29%2815%29 ALIGN=MIDDLE  ALT=\"A%5B2%5D=2pi%2856%29%5E2+%2B+2pi%2856%29%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=197%2B528 ALIGN=MIDDLE  ALT=\"197%2B528\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D=725+cm%5E2 ALIGN=MIDDLE  ALT=\"A%5B2%5D=725+cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------------> bigger\r<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font size=4=indigo><b>Thank you,\r\n" );
document.write( "Jojo</PRE> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );