Let E be the solid that lies above the cone Z = sqrt(1/ 9 x^ 2 + 1/ 9 y^ 2) and below the sphere x^ 2+y ^2+z^ 2 = 32/ 6 . (a) Sketch the solid E. (b) Using symmetry, set up a triple integral in rectangular coordinates representing the volume of E. Do not evaluate the integral.

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Let E be the solid that lies above the cone
Z = sqrt(1/ 9 x^ 2 + 1/ 9 y^ 2) and below the
sphere x^ 2+y ^2+z^ 2 = 32/ 6.
%3D
(a) Sketch the solid E.
(b) Using symmetry, set up a triple integral in
rectangular coordinates representing the
volume of E. Do not evaluate the integral.
Transcribed Image Text:Let E be the solid that lies above the cone Z = sqrt(1/ 9 x^ 2 + 1/ 9 y^ 2) and below the sphere x^ 2+y ^2+z^ 2 = 32/ 6. %3D (a) Sketch the solid E. (b) Using symmetry, set up a triple integral in rectangular coordinates representing the volume of E. Do not evaluate the integral.
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