Current Articles | Archives Geometry of Common SolidsStaff posted on October 23, 2006 | Geometry of Common Solids Properties of Hemispherical Shell Surface Area Lateral Area + Base Area Volume Mass Centroid from yz-planeCx Centroid from zx-planeCy Centroid from xy-planeCz Mass Moment of Inertiaabout the x axisIxx Mass Moment of Inertiaabout the y axisIyy Mass Moment of Inertiaabout the z axisIzz Radius of Gyration about the x axiskxx Radius of Gyration about the y axiskyy Radius of Gyration about the z axiskzz 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 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 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. Page: 9 Of 15First Previous 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Next Last Please enable JavaScript to view the comments powered by Disqus.