Discussion
A triple integral set up in the spherical system carries, as its element, the product
Answer: C
The three edges of a small box are \( dr \) radially, \( r\,d\phi \) along the meridian and \( r\sin\phi\,d\theta \) around the axis, the last shrinking towards the poles. Their product is
\[ dV \;=\; r^{2}\sin\phi\,dr\,d\phi\,d\theta. \]
The sine factor is what makes the element vanish on the axis, where a change of longitude moves no distance at all
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