Consider an elemental plate at a distance x from apex of radius r and thickness dx as shown in Figure 11.25. Mass of elemental plate = ρπr2dx.
Figure 11.25 Mass Moment of Inertia of Circular Cone about Its Axis of Rotation
The moment of inertia of circular plate about normal axis through its centre is
Moment of inertia of the elemental plate about the axis = 
Moment of inertia of cone about its axis, 
Mass of the cone, 
Moment of inertia of cone about its axis, 
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