GATE Electronics and Communications (EC) 2021 Solved Paper

For a vector field D = ρ cos² ϕ a_ρ + z² sin² ϕ a_ϕ in a cylindrical coordinate system (ρ, ϕ, z) with unit vectors a_ρ, a_ϕ and a_z, the net flux of D leaving the closed surface of the cylinder (ρ = 3, 0 ≤ z ≤ 2) (rounded off to two decimal places) is ______.