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6. (10 points) Let V denote the region common to the intersection of the two cylinders 12 + yz = 02 where a is some

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6. (10 points) Let V denote the region common to the intersection of the two cylinders 12 + yz = 02 where a is some positive constant. Let Ven denote the intersection of ) with the positive octant in space ( picture provided in "files" tab, see "twocylinders.jpeg" ). Calculate the volume of V'so in cylindrical coordinates (the volume was computed in rectangular coordinates in the lecture. Do not repeat that calculation.)

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