document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184202>Question 1184202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of a cone varies jointly as its height, and the square of its radius.<BR>\n" );
document.write( "If a cone with a height of 8 centimeters and a radius of 2 centimeters has a<BR>\n" );
document.write( "volume of 33.5 cm3, what is the volume of a cone with a height of 6 centimeters and a radius of 4 centimeters? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814781 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A classical mathematical solution....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=k%28%28h%29%28r%5E2%29%29 ALIGN=MIDDLE  ALT=\"V=k%28%28h%29%28r%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(1) Plug in the given values V=33.5, h=8, r=2 and solve for k.<BR>\n" );
document.write( "(2) Use that value of k with the new values of h and r to find the new V.<br><BR>\n" );
document.write( "That's simple enough; I leave it to you.<br><BR>\n" );
document.write( "A common sense solution....<br><BR>\n" );
document.write( "The height is changed by a factor of 6/8 = 3/4; that changes the volume by a factor of 3/4.<BR>\n" );
document.write( "The radius is changed by a factor of 4/2 = 2; that changes the volume by a factor of 2^2 = 4.<br><BR>\n" );
document.write( "The volume of the second cone is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2833.5%29%283%2F4%29%284%29=100.5 ALIGN=MIDDLE  ALT=\"%2833.5%29%283%2F4%29%284%29=100.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: 100.5 cubic cm<br><BR>\n" );
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