The surface of revolution obtained by cutting a conical "wedge" with vertex at the center of a sphere out of the sphere. It is therefore a cone plus a spherical cap, and is a degenerate case of a spherical sector. The volume of the spherical cone is
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(1)
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(Kern and Bland 1948, p. 104). The surface area of a closed spherical sector is
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(2)
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and the geometric centroid is located at a height
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(3)
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above the sphere's center (Harris and Stocker 1998).
The inertia tensor of a uniform spherical cone of mass 
is given by
![I=[1/(10)M(h^2-3Rh+6R^2) 0 0; 0 1/(10)M(h^2-3Rh+6R^2) 0; 0 0 1/5Mh(3R-h)].](/images/equations/SphericalCone/NumberedEquation4.svg) |
(4)
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The degenerate case of 
gives a hemisphere with circular base, yielding
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(5)
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(6)
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as expected.
