If `x=rsinthetacosphi,y=rsinthetasinphi and z=rcostheta, then x^2+y^2+z^2` is independent of `(a)theta,phi` (b) `r ,theta` (c) `r ,phi` (d) r

Explanation

To solve the problem, we need to find the expression for \( x^2 + y^2 + z^2 \) given the definitions of \( x \), \( y \), and \( z \) in terms of \( r \), \( \theta \), and \( \phi \).

### Step-by-Step Solution:

1. **Write down the given equations:**
\[ x = r \sin \theta \cos \phi \]
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