document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175728>Question 1175728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sector of a cycle of radius 9cm subtending an angle 240 at the centre of the cycle , is used to form a cone. Calculate to the nearest whole number the;<BR>\n" );
document.write( "1). Base radius of the cone<BR>\n" );
document.write( "2). Height of the cone<BR>\n" );
document.write( "3). Total surface area of the cone<BR>\n" );
document.write( "4). Volume of the cone. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #801424 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=801424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "From the context, you CLEARLY mean \"circle\" instead of \"cycle\"....<br><BR>\n" );
document.write( "The radius of the given circle is 9cm.<BR>\n" );
document.write( "The circumference of the circle is 18pi cm.<BR>\n" );
document.write( "The length of the arc of the circle subtended by a central angle of 240 degrees is 240/360 = 2/3 of the circumference, which is 12pi cm.<BR>\n" );
document.write( "That 12pi cm is the circumference of the base of the cone.<BR>\n" );
document.write( "So the radius of the cone is 6cm.<BR>\n" );
document.write( "The 9cm radius of the original circle is the slant height of the cone.<BR>\n" );
document.write( "The radius of the cone being 6cm and the slant height being 9cm, the Pythagorean Theorem gives the height of the cone.<br><BR>\n" );
document.write( "You now have the radius, height, and slant height of the cone; you can answer all of the questions.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );