document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107513>Question 1107513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The wafer cone shown in the figure is to hold 12 in3 of ice cream when filled to the bottom. The diameter of the cone is 2 inches, and the top of the ice cream has the shape of a hemisphere. Find the height h of the cone. (Round your answer to two decimal places.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722522 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=722522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> No picture available, but assume total volume includes the hemisphere.<BR>\n" );
document.write( "V= V cone + V hemisphere<BR>\n" );
document.write( "12 in^3= (1/3)pi*r^2h+(4/3)(1/2)pi*r^3, r=1, since d=2<BR>\n" );
document.write( "12=(1/3)pi*h+(2/3)pi<BR>\n" );
document.write( "move (2/3) pi to left and divide both sides by (1/3) pi.<BR>\n" );
document.write( "h=9.46 cm.\r<BR>\n" );
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document.write( "Check grossly--(1/3)pi*r^2*h is about 9.5, a little more since (1/3)pi>1<BR>\n" );
document.write( "V sphere is (4/3)*pir^3=about 4, and half of that is about 2, or a little more<BR>\n" );
document.write( "That is 11.5 cm^3, in the range of 12. </SPAN>\n" );
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