SCalcET$915\mathrm{.}8\mathrm{.}037.$

Use cylindrical or spherical coordinates, whichever seems more appropriate.

Find the volume $V$ and centroid of the solid $E$ that lies above the cone $z=\sqrt[\phantom{2}]{x^2{y}^2}$ and below the sphere $x^2{y}^2{z}^2=9.$

$V=$

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Enter an exact answer with no rounding.

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