Use spherical coordinates to evaluate the triple integral ∫∫∫B square root^2x+y^2+z^2 dV , where B is the ball: x^2+y^2+z^2≤36 1296pi 216pi 432pi 6pi
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A: x=4i+2j−ky=−3i+5j+4kz=−i−j+2k ∣∣∣2x+2y−z∣∣∣=∣∣∣3i+15j+4k∣∣∣=32+152+42=250≈15.811
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Use spherical coordinates to evaluate the triple integral ∫∫∫B square root^2x+y^2+z^2 dV , where B is the ball: x^2+y^2+z^2≤36
1296pi
216pi
432pi
6pi
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