Question: Compute the integral y dV, where U is the part of the ball of U radius 3, centered at (000), that lies in the 1st

Compute the integral y dV, where U is the part of the ball of U radius 3, centered at (000), that lies in the 1st octant. Recall that the rst octant is the part of the 3d space where all three coordinates x, y, z are nonnegative. (Hint: You may use cylindrical or spherical coordinates for this computation, but note that the computation with cylindrical coordinates will involve a trigonometric substitution- so spherical cooridnates should be preferable.

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