Question: 4. Let Q be the 'Igloo with no door . . . with a skylight!' That is, Q the solid between z = (4 x

4. Let Q be the 'Igloo with no door . . . with a skylight!' That is, Q the solid between z = (4 x ^2 y ^2) and z = (1 x^ 2 y ^2) bounded below by z = 0 with the space inside z = ( 3x^2 + 3y ^2 )removed.

Find the volume of Q by evaluating a triple iterated integral in spherical coordinates.

HINT: A good cross-section sketch goes a long way!

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