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B is the solid occupying the region of the space in the first octant and bounded...

B is the solid occupying the region of the space in the first octant and bounded by the paraboloid z = x2 + y2- 1 and the planes z = 0, z = 1, x = 0 and y = 0. The density of B is proportional to the distance at the plane of (x, y).

Determine the coordinates of the mass centre of solid B.

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