Question

If mass, radius of cross-section and height of a cylinder are (0.4+0.01) g, (6+0.03) m and height (8+0.04) m. The maximum percentage error in the measurement of density of cylinder is?

• A. 1%
• B. 4%
• C. 8%
• D. 7%

Answer 1

Answer: (B)

4%

Answer 2

The correct option is (B): 4%
$ρ = \frac{m}{πr^2h}$
$\frac{△ρ}{ρ} = ±[\frac{△m}{m} + \frac{2△r}{r} + \frac{△h}{h}]$
$= 0.04$