document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206673>Question 1206673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sector of angle 65° is removed to form a thin circular sheet of radius 15cm and folded to form a right circular cone. Calculate the 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 #844239 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=844239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sector of angle 65° is removed to form a thin circular sheet of radius 15cm and folded to form a right circular cone. Calculate the volume of the cone\r<BR>\n" );
document.write( "\n" );
document.write( "Volumeof cone = 1/3 * pi*r^2*h\r<BR>\n" );
document.write( "\n" );
document.write( "we need to find h the height and radius of base of cone (r)\r<BR>\n" );
document.write( "\n" );
document.write( "Area of sector = ((theta)/360 )* pi*r^2\r<BR>\n" );
document.write( "\n" );
document.write( "A=(65/360)*pi*15^2\r<BR>\n" );
document.write( "\n" );
document.write( "A= 127.627 cm^2\r<BR>\n" );
document.write( "\n" );
document.write( "When folded the area of sector will be the lateral surface area of cone = pi*r*l.<BR>\n" );
document.write( " radius of sector will become the slant height of cone\r<BR>\n" );
document.write( "\n" );
document.write( "pi*r*15= 127.627\r<BR>\n" );
document.write( "\n" );
document.write( "r=127.627/ (15*pi)<BR>\n" );
document.write( "r=2.708 cm\r<BR>\n" );
document.write( "\n" );
document.write( "h= sqrt(l^2-r^2)\r<BR>\n" );
document.write( "\n" );
document.write( "h = sqrt(15^2-2.708)^2)= 14.75\r<BR>\n" );
document.write( "\n" );
document.write( "Volume of cone = (1/3) *pi*(2.708)^2*14.75<BR>\n" );
document.write( "= 113.27 cm^3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );