Question: Let S1 be the solid situated in the first octant under the plane x+y+z=14. Let S2 be the solid situated inside the sphere x2+y2+z2=196 in

Let S1 be the solid situated in the first octant under the plane x+y+z=14. Let S2 be the solid situated inside the sphere x2+y2+z2=196 in the first octant. If the volume of the solid S2 is 13723, determine the volume, VS, of the solid S situated between the surfaces of S1 and S2. Enter an exact answer.

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