<PRE><B>Question 1200707</B>
the base of the pie would be the sector of a circle, i believe.
the base forms a circle with a radius of 5 inches.
the area of the base would be equal to pi * r^2 = pi * 5^2 = 25 * pi.
the circumference of the base would be equal to 2 * pi * r = 2 * pi * 5 = 10 * pi
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.
since the height of the slice is 10 inches, then the volume of the slice will be 10 * 40 = 400 cubic inches.


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.


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.



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