Let B = {(x, y, z) : x² + y² + z² ≤ 1} be the solid sphere of radius 1, u(x, y, z) be the distance from (x, y, z) to P(0, 0, 1). (1) Find u(x, y, z) and simplify it in the spherical coordinates: x = p sino cos0, y = psinosine, z = p cos p. (2) Convert u(x, y, z)dV into an iterated integral in the spherical coordinates, in the order død.pd0. (3) Find the average distance m from B to P: m SSSB u(x, y, z)dV VB VB volume of B. = 1