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$V(r,l)=\pi r^2l$, so $$\begin{align} V(r+\Delta r,l+\Delta l)&\approx V(r,l)+\frac{\partial V}{\partial r}\Delta r+\frac{\partial V}{\partial l}\Delta l\\ &\approx V(r,l)+2\pi r l\Delta r+\pi r^2\Delta l \end{align}$$ So error in $V$ is $2\pi r l\Delta r+\pi r^2\Delta l$. Note this does not factor in statistics/probability. If the given ...



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