Answer :

Given:


X = r sin θ cos ϕ


Y = r sin θ sin ϕ


Z = r cos θ


x2+y2+z2


(r sin θ cos ϕ )2 + (r sin θ sin ϕ) 2 + (r cos θ )2


r2sin2θcos2ϕ + r2sin2θsin2ϕ + r2cos2θ


r2sin2θ(cos2ϕ+ sin2ϕ) + r2cos2θ


r2sin2θ + r2cos2θ


r2(sin2θ + cos2θ)


r2.


It is independent of θ and ϕ .

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