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Using Spherical Coordinates, the Iterated Integral Is

A) 486π486 \pi

Question 38

Multiple Choice

Using spherical coordinates, the iterated integral 339x29x29x2y29x2y2(x2+y2+z2) 32dzdydx\int_{-3}^{3} \int_{-\sqrt{9-x^{2}}}^{\sqrt{9-x^{2}}} \int_{\sqrt{9-x^{2}-y^{2}}}^{\sqrt{9-x^{2}-y^{2}}}\left(x^{2}+y^{2}+z^{2}\right) ^{\frac{3}{2}} d z d y d x is


A) 486π486 \pi
B) 463π463 \pi
C) 442 π\pi
D) 438π438 \pi
E) 422π422 \pi

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