The percentage error in the calculated volume of a sphere, if there is 2% error in its diameter measurement, is

Question

The percentage error in the calculated volume of a sphere, if there is 2% error in its diameter measurement, is ______. [2026]

Smart Achievers · Accepted Answer

(3)

$V = \frac{4}{3} π r^{3} \Rightarrow \frac{d V}{V} = 3 \frac{d r}{r}$

$\frac{d V}{V} \times 100 = 3 \frac{d r}{r} \times 100 = 3 (2) = 6 %$

Want Us to Email you About Special Offers & Updates?