Let A be the area of a region D forming part of the surface

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Let A be the area of a region D forming part of the surface of the sphere of radius R centred at the origin, and let V b

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Let A be the area of a region D forming part of the surface of the sphere of radius R centred at the origin, and let V be the volume of the solid cone C consisting of all points on line segments joining the centre of the sphere to points in D. Show that V D 1 3 AR by applying the Divergence Theorem to F D xi C yj C zk.

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