document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200707>Question 1200707</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to solve a volume problem and the picture is a slice of pie.  The height is 10 in, the side is 5 in and the curve is 16 in.  How do I calculate the volume?\r<BR>\n" );
document.write( "\n" );
document.write( "I have a picture of the figure; but, can't upload it.  Please help.\r<BR>\n" );
document.write( "\n" );
document.write( "I have tried to solve using the cylinder volume formula and then dividing the answer by 4 (only because it looks like a forth-of-a pie).<BR>\n" );
document.write( "V=3.14 x 5 x 5 x 10<BR>\n" );
document.write( " = 785 in3<BR>\n" );
document.write( "then divided by 4 . . . 196.25 in3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #834905 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=834905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the base of the pie would be the sector of a circle, i believe.<BR>\n" );
document.write( "the base forms a circle with a radius of 5 inches.<BR>\n" );
document.write( "the area of the base would be equal to pi * r^2 = pi * 5^2 = 25 * pi.<BR>\n" );
document.write( "the circumference of the base would be equal to 2 * pi * r = 2 * pi * 5 = 10 * pi<BR>\n" );
document.write( "since the curved part of the slice would be 16 inches, then the area of the slice would be pi * 5^2 * 16 / (10 * pi) = 40 square inches.<BR>\n" );
document.write( "since the height of the slice is 10 inches, then the volume of the slice will be 10 * 40 = 400 cubic inches.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your way would have worked except for the fact that the slice is not 1/4 of the pie, but 16 / (10 * pi) = .5092958179 of the pie.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "take also into account that the volume of the cylinder is 10 * pi * 25 = 785.3981634 and that pi is equal to 3.141592654, and you will get .5092958179 * 785.3981634 = 400 cubic inches, same as i got.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );