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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 body.
 All equations use the outer radius of the shell.
 is the thickness of the shell and is assumed small.
 :is the density of the body.
If  , the approximate calculated volume is no more than 10.7% larger than the exact volume. For exact results use the Sphere equations for the outer and inner radii.
All of the above results assume that the body has constant density. |