What is the Jacobian of the change to spherical coordinates (x=ρsinϕcosθ,y=ρsinϕsinθ,z=ρcosϕx = \rho \sin \phi \cos \theta, y = \rho \sin \phi \sin \theta, z = \rho \cos \phix=ρsinϕcosθ,y=ρsinϕsinθ,z=ρcosϕ)?
ρ2sinϕ\rho^2 \sin \phiρ2sinϕ
ρsinϕ\rho \sin \phiρsinϕ
ρ2\rho^2ρ2
sinϕ\sin \phisinϕ