16 MULTIPLE INTEGRALS
16 MULTIPLE INTEGRALS
16 MULTIPLE INTEGRALS
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GROUP WORK, SECTION <strong>16</strong>.7<br />
A Partially Eaten Sphere<br />
1. Compute the volume of the solid S formed by starting with the sphere x 2 + y 2 + z 2 = 9, and removing<br />
the solid bounded below by the cone z 2 = 2 ( x 2 + y 2) .<br />
2. Set up the triple integral ∫∫∫ S<br />
yz dV in the same coordinate system you used for Problem 1.<br />
915
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