GATE 2020 CE (CE2) – Question 50
A right circular cylinder has diameter 3 cm and height 4 cm. Each measurement has absolute error 0.2 cm. Find absolute error in computed volume (cm³), to three decimals.
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Correct answer: 5.18 to 5.2
Explanation
For $V=\pi D^2H/4$, differential worst-case error is $|V_D|\Delta D+|V_H|\Delta H$. This is $(\pi DH/2)(0.2)+(\pi D^2/4)(0.2)=1.65\pi=\mathbf{5.184}$ cm³.