Discussion
The mass of a solid of variable density \( \rho(x,y,z) \) is
Answer: A
Each element carries mass \( \rho\,dV \), and summing gives
\[ m \;=\; \iiint \rho(x,y,z)\,dV. \]
Taking \( \rho \) outside the integral is valid only for a uniform solid; for a variable density it must stay inside, which is the whole reason the integral is needed rather than a product
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