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Surface Area
Lateral Area + Base Area |
Volume |
Mass |
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Centroid from yz-plane
Cx |
Centroid from zx-plane
Cy |
Centroid from xy-plane
Cz |
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Mass Moment of Inertia
about the x axis
Ixx |
Mass Moment of Inertia
about the y axis
Iyy |
Mass Moment of Inertia
about the z axis
Izz |
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Radius of Gyration
about the x axis
kxx |
Radius of Gyration
about the y axis
kyy |
Radius of Gyration
about the z axis
kzz |
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Moment of Inertia about the centroidal x axis ( xc )
IXcXc |
Moment of Inertia about the centroidal y axis ( yc )
IYcYc |
Moment of Inertia about the centroidal z axis ( zc )
IZcZc |
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Radius of Gyration about the centroidal x axis ( xc )
kXcXc |
Radius of Gyration about the centroidal y axis ( yc )
kYcYc |
Radius of Gyration about the centroidal z axis ( zc )
kZcZc |
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NOTE:
 ; 
 is the mass of the entire body.
 is the density of the body.
All of the above results assume that the body has constant density. For none constant density see the general integral forms of Mass, Mass Moment of Inertia, and Mass Radius of Gyration. |