document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150283>Question 150283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the radius of a certain brand of lollipop is 12mm<BR>\n" );
document.write( "the formula for the volume of a sphere is V=(4/3)(pie)(r)^3. what is the volume of the lollipop? if you are licking at a rate of 1 lick every 5 seconds, and each lick you take removes 40mm^3 from the volume of the lollipop. how many seconds does it take until the lollipop is consumed? how many licks? if you're dealing with a lollipop with bubble gum in the center, how many licks will it take to get to the center, if the gum has a radius of 5 mm. write an equation that tells you the volume of the lollipop in terms of L, the number of licks. write an equation that tells you the radius of the lollipop in terms of L.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110414 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=110414\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) For the Volume of lollipop ----> direct substitution, with given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=radius=12mmm ALIGN=MIDDLE  ALT=\"radius=12mmm\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%284%2F3%29%28pi%29r%5E3 ALIGN=MIDDLE  ALT=\"V=%284%2F3%29%28pi%29r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%28pi%2912%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29%28pi%2912%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=7238.823mm%5E3 ALIGN=MIDDLE  ALT=\"V=7238.823mm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2) Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1lick%2F5+seconds ALIGN=MIDDLE  ALT=\"1lick%2F5+seconds\"   DISABLED_style= \"max-width:90%; height:auto;\" > for every <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40mm%5E3 ALIGN=MIDDLE  ALT=\"40mm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "By Ratio & Proportion,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7238.823%2F40 ALIGN=MIDDLE  ALT=\"7238.823%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1Lick%2F5seconds ALIGN=MIDDLE  ALT=\"1Lick%2F5seconds\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=181=1Lick%2F5seconds ALIGN=MIDDLE  ALT=\"181=1Lick%2F5seconds\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There you go, you need to take 181 licks to finish the whole lollipop.<BR>\n" );
document.write( "If you cross multiply, you get the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=time ALIGN=MIDDLE  ALT=\"time\"   DISABLED_style= \"max-width:90%; height:auto;\" > to finish it,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=181%2A5=905+seconds=15.08minutes ALIGN=MIDDLE  ALT=\"181%2A5=905+seconds=15.08minutes\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3) If there's a gum in the center w/ radius 5mm:<BR>\n" );
document.write( "To get to the center, we subtract this radius from the radius of the lollipop and mark as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B1%5D ALIGN=MIDDLE  ALT=\"R%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > to be used.<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12-5=7mm=R%5B1%5D ALIGN=MIDDLE  ALT=\"12-5=7mm=R%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> used to get the new volume <BR>\n" );
document.write( "For the Volume= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%28pi%29%287%5E3%29 ALIGN=MIDDLE  ALT=\"%284%2F3%29%28pi%29%287%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1436.755mm%5E3 ALIGN=MIDDLE  ALT=\"1436.755mm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Again by Ratio & Prop.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1436.755%2F40 ALIGN=MIDDLE  ALT=\"1436.755%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1Lick%2F5+seconds ALIGN=MIDDLE  ALT=\"1Lick%2F5+seconds\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35.92%3E=36Licks ALIGN=MIDDLE  ALT=\"35.92%3E=36Licks\"   DISABLED_style= \"max-width:90%; height:auto;\" > before you get to the center where the gum is.<BR>\n" );
document.write( "Again, you cross multiply for the time frame,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2A5=180seconds=3minutes ALIGN=MIDDLE  ALT=\"36%2A5=180seconds=3minutes\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );