Hollow Cone for Revolved Volume Integration

Hollow Cone for Revolved Volume Integration

thingiverse

Hollow Cone made in Fusion 360 to demonstrate an integration technique. The volume of this shape can be calculated in the exact same way that this shape is designed. Rotating the area that lies between two diagnal lines, around a center axis would give us the volume of the new three-dimensional shape. The shape was specifically designed with the washer method in mind and this shape keeps the functions nice and tidy so we can learn the basics of what is really going on. (Top Function) f(x) = -x+(2.5 in) (Bottom Function) g(x) = -x+(2 in) Base = 5 in Height = 2.5 in Washer Method: V = π ∫ from b to a ( [ f(x) ] ^2) − ( [ g(x) ] ^2) dx *Provided files are in .stl and .obj formats.*

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