Right Hollow Circular Cone

This page provides a diagram and functioning calculator to compute the mass moment of inertia for a cone around it's z, x and y axes.
﻿
Iz axis=12mr2I_{z\ axis} = \frac{1}{2}mr^2Iz axis​=21​mr2
The following are the variables for the equations...
I = the moment of inertia (﻿kg/m2
).
h = the height of the cone (m).
m = the body's mass (kg).
r = distance between the centroid of the body and the axis, i.e. the radius (m).
﻿
Ix/y axis=14m(r2+2h2)I_{x/y\ axis} =\frac{1}{4}m(r^2+2h^2)Ix/y axis​=41​m(r2+2h2)
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﻿
Moment of Inertia For An Octahedron CalculatorInputs﻿﻿Mass, m
:10.00kg​
﻿
﻿﻿Cone height, h
:5.00m​
﻿
﻿﻿Radius, r
:4.00m​
﻿
Output﻿﻿Moment of Inertia, I (z axis)
:80.00kg m^2​
﻿
﻿
Iz axis=12mr2I_{z\ axis} = \frac{1}{2}mr^2Iz axis​=21​mr2
﻿﻿Moment of Inertia, I (x or y axis)
:165.00kg m^2​
﻿
﻿
Ix/y axis=14m(r2+2h2)I_{x/y\ axis} =\frac{1}{4}m(r^2+2h^2)Ix/y axis​=41​m(r2+2h2)
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