document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127601>Question 1127601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of a cone varies jointly as its height and the square of its radius. If<BR>\n" );
document.write( "the volume of a cone is 32&#960; cubic inches when the radius is 4 inches and the height is 6 inches,<BR>\n" );
document.write( "find the volume of a cone when the radius is 4 inches and the height is 10 inches.\r<BR>\n" );
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document.write( "I got this question wrong on the homework, and need to understand the proper steps. Could you please break it down for me? Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744089 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=744089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "In the answer from the other tutor, they started on the problem by finding the constant of variation, using the given information.<br><BR>\n" );
document.write( "But then they didn't answer the question....<br><BR>\n" );
document.write( "That would have been a valid approach to solving the problem.  And it would have been an appropriate method if you need to get a complete formula for the volume, including the constant of variation  -- for example, if you needed a formula to use for finding the volume of several cones.<br><BR>\n" );
document.write( "But, in this problem, you only need to find the volume of one other cone.  The easiest way to do that is by looking at how each variable changes.<br><BR>\n" );
document.write( "The problem says the volume varies jointly as the height and the square of the radius.<br><BR>\n" );
document.write( "From the first cone to the second, the radius doesn't change at all, so the only change in the volume will be due to the change in height.<br><BR>\n" );
document.write( "From the first cone to the second, the height changes from 6 to 10, and increase by a factor of 10/6 = 5/3.<br><BR>\n" );
document.write( "So the volume will increase by that same factor.<br><BR>\n" );
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document.write( "The volume of the second cone is 160/3 pi. </SPAN>\n" );
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