Within a region of free space, charge density is given as where ρ0 and a are constants. Find the total charge lying within (a) the sphere, r ≤ a; (b) the cone, r ≤ a, 0 ≤ θ ≤ 0.1π; (c) the region, r ≤ a, 0 ≤ θ ≤ 0.1π, 0 ≤ ϕ<0.2π.
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