Chapter 5.2, Problem 114E

Let $S_1$ and $S_2$ be the solids situated in the first octant under the plane x + y + z = 2 and under the sphere>x + y + z = 4. respectively. If the volume of the solid S, is determine the volume of the solid S₂ situated

$\frac{4\pi }{3}$ between S₁and S₂by subtracting the volumes of these solids.