16 MULTIPLE INTEGRALS
16 MULTIPLE INTEGRALS
16 MULTIPLE INTEGRALS
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GROUP WORK 2, SECTION <strong>16</strong>.6<br />
Setting Up Volume Integrals<br />
Set up volume integrals for the following solids:<br />
1. S is the solid formed by hollowing out a square cylinder of side length 1 centered along the z-axis through<br />
the solid sphere x 2 + y 2 + z 2 = 4.<br />
2. S is the part of the solid sphere x 2 + y 2 + z 2 = 4 lying above the plane z = 1.<br />
3. S is the solid formed by drilling a cylindrical hole of radius 1 centered along the z-axis through the solid<br />
sphere x 2 + y 2 + z 2 = 4.<br />
4. S is the solid formed by hollowing out a square cylinder of side length 1 centered along the y-axis through<br />
the solid sphere x 2 + y 2 + z 2 = 4.<br />
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