<Tr> <Td> Right circular hollow cone with radius r, height h and mass m </Td> <Td> </Td> <Td> I z = m r 2 2 (\ displaystyle I_ (z) = (\ frac (mr ^ (2)) (2)) \, \!) I x = I y = m 4 (r 2 + 2 h 2) (\ displaystyle I_ (x) = I_ (y) = (\ frac (m) (4)) \ left (r ^ (2) + 2h ^ (2) \ right) \, \!) </Td> </Tr> <Tr> <Td> Torus with minor radius a, major radius b and mass m . </Td> <Td> </Td> <Td> About an axis passing through the center and perpendicular to the diameter: m 4 (4 b 2 + 3 a 2) (\ displaystyle (\ frac (m) (4)) \ left (4b ^ (2) + 3a ^ (2) \ right)) About a diameter: m 8 (5 a 2 + 4 b 2) (\ displaystyle (\ frac (m) (8)) \ left (5a ^ (2) + 4b ^ (2) \ right)) </Td> </Tr> <Tr> <Td> Ellipsoid (solid) of semiaxes a, b, and c with mass m </Td> <Td> </Td> <Td> I a = m 5 (b 2 + c 2) (\ displaystyle I_ (a) = (\ frac (m) (5)) \ left (b ^ (2) + c ^ (2) \ right) \, \!) I b = m 5 (a 2 + c 2) (\ displaystyle I_ (b) = (\ frac (m) (5)) \ left (a ^ (2) + c ^ (2) \ right) \, \!) I c = m 5 (a 2 + b 2) (\ displaystyle I_ (c) = (\ frac (m) (5)) \ left (a ^ (2) + b ^ (2) \ right) \, \!) </Td> </Tr> <Tr> <Td> Thin rectangular plate of height h, width w and mass m (Axis of rotation at the end of the plate) </Td> <Td> </Td> <Td> I e = m 12 (4 h 2 + w 2) (\ displaystyle I_ (e) = (\ frac (m) (12)) \ left (4h ^ (2) + w ^ (2) \ right) \, \!) </Td> </Tr>

How to calculate moment of inertia of a cone