A cone is formed from a 300-degree sector of a circle of radius 18 by aligning the two straight sides. 
What is the result when the volume of the cone is divided by \(\pi\)?
+130042 We can find the radius of the cone thusly :
Perimeter of cone = Perimeter of sector shown
2 pi * ( radius of cone) = (300 / 360) 2 pi * 18
radius of cone = (5/6) * 18
radius of cone = 15
The height of the cone is √ [ 18^2 - 15^2 ] = √99 = 3√11
So....the volume of the cone is
(1/3) pi * (radius)^2 * height =
(1/3) pi ( 15)^2 * 3√11 =
pi * 225√11
Dividing this by pi gives
225√11
