Recent content by Bergen

  1. B

    Mass of a sphere with a non-uniform density.

    Ok, think I got it now. Thanks everyone!
  2. B

    Mass of a sphere with a non-uniform density.

    When i multiply out the bracket and factor out ρ I'm left with this: ρ^3(sin^2(ϕ)cos(θ)+sin^2(ϕ)sin(θ)+sin(ϕ)cos(ϕ)) If I'm not mistaken, I have to separate ϕ and θ before I can integrate. That is what I don't know how to do. Maby by using some trigonometric identities?
  3. B

    Mass of a sphere with a non-uniform density.

    Homework Statement A sphere is given by x^2+y^2+z^2 ≤ 1. The density is given by ρ(x,y,z) = x+y+z. Show that the mass is 3π/2. Homework Equations m = ∫ρ ∂V ∂V=ρ^2sinϕ∂ρ∂ϕ∂θ The Attempt at a Solution I have converted the x, y and z in the density function to spherical...