Q 11-01-054JEE MainJEE Main 2026 (6 Apr, Shift 2)Easy
The percentage error in the calculated volume of a sphere, if there is $2\%$ error in its diameter measurement, is ______.
Answer: (C) $6$
$V = \dfrac{\pi d^3}{6}$, so $\dfrac{\Delta V}{V} = 3\dfrac{\Delta d}{d} = 3 \times 2\% = 6\%$.
Solution by Sreeraj P, M.Sc Physics