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Evaluate the triple integral ∭ z dV where E is the solid bounded by the cylinder y^2 + z^2 = 36 and the planes x = 0, y = 3x, and z = 0 in the first octant.

Learn how to evaluate a triple integral of z over a solid bounded by the cylinder y^2 + z^2 = 36 and planes x = 0, y = 3x, and z = 0 in the first octant. This example involves cylindrical coordinates and integration techniques for three-dimensional regions.

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