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Centre of Mass and Moment of Inertia of a sphere - spherical cap

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up vote 0 down vote favorite 1 I have been given a sphere of radius a, from this sphere a cap of hight h is cut off. 1) What is the centre of mass of the rest of the sphere? 2) What is the moment of inertia regarding the axis of symmetry? 1 - no real Idea how to do it. 2 - I got $$ I = frac{1}{2}rho pi(frac{16}{15}R^5-frac{4}{3}R^2h^3+h^4R)$$ could this be right? Thank you very much for your help! physics mathematical-physics share | cite | improve this question asked Jun 24 '14 at 15:08 user155452 6 3