document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=365565>Question 365565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for r:\r<BR>\n" );
document.write( "\n" );
document.write( "v=1/3(pi)h^2(3r-h)\r<BR>\n" );
document.write( "\n" );
document.write( "I solved it to get (h+v)/(3pi h^2)=r<BR>\n" );
document.write( "The solution book says it should be:<BR>\n" );
document.write( "(3v+pi h^3)/(3pi h^2)\r<BR>\n" );
document.write( "\n" );
document.write( "What did I do wrong? Or is the book wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #260608 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=260608\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "Let's go through this. (The book is correct)<BR>\n" );
document.write( "v=1/3(pi)h^2(3r-h) <BR>\n" );
document.write( "First divide both sides by 1/3(pi)h^2 to get:<BR>\n" );
document.write( "v/[1/3(pi)h^2]=(3r-h)<BR>\n" );
document.write( "Add h to both sides:<BR>\n" );
document.write( "v/[1/3(pi)h^2]+h=3r<BR>\n" );
document.write( "Note: the 1/3 could actually be written as:<BR>\n" );
document.write( "3v/[(pi)h^2]+h=3r<BR>\n" );
document.write( "Now divide each side by 3 to get:<BR>\n" );
document.write( "r=3v/3[(pi)h^2]+h/3 <BR>\n" );
document.write( "Now, we want to combine these two fractions 3v/3[(pi)h^2] and h/3 into one fraction. <BR>\n" );
document.write( "To do so we need a common denominator.<BR>\n" );
document.write( "Multiply the (h/3) by (pi)h^2]/(pi)h^2] to get:<BR>\n" );
document.write( "h(pi)h^2/3[(pi)h^2] or rewritten as:<BR>\n" );
document.write( "(pi)h^3/3[(pi)h^2]<BR>\n" );
document.write( "Now that we have the same denominator it looks like:<BR>\n" );
document.write( "r=3v+(pi)h^3/3(pi)h^2<BR>\n" );
document.write( "OK, hope you followed me on this. <BR>\n" );
document.write( "Does it make sense to you?<BR>\n" );
document.write( "RJ<BR>\n" );
document.write( "www.math-unlock.com<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );