Discussion
The differential volume element in cylindrical coordinates is
Answer: D
Correct answer: \( \rho \, d\rho \, d\phi \, dz \)
The three edges of the element are \( d\rho \), \( \rho\,d\phi \) and \( dz \), the middle one carrying a factor of \( \rho \) because an angle subtends a longer arc further from the axis. Multiplying them gives the volume element, and omitting the \( \rho \) is the commonest error in cylindrical integration.
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