



 
Robert, I am going to assume that the 12.5" and 7" are diameters. The pole is a truncated cone, a cone with the top cut off. If you extend the pole until it comes to a point and forms a cone then you can determine its volume by calculating the volume of the extended pole and then subtracting the volume cut off. In my diagram I extended the pole to the point A and I let h feet be the height of the extension. Since triangles ABE and ACD are similar Solve this equation for h. Use the fact that the volume of a cone is
to find the volume of the cone of height 40 + h feet and subtract the volume of the cone of height h feet. Harley  


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