Question

Percentage error is the measurement of height and radius of cylinder are x and y respectively. Find percentage error in the measurement of volume. Which of the two measurement height or radius need more attention?

Answer 1

Height of cylinder = x

Radius of cylinder = y

Volume of cylinder = πy²x

Percentage error in volume,

\(\frac{\Delta V}{V}\times100=±(2\frac{\Delta y}{y}+\frac{\Delta x}{x})\times100\)