Question

The length of a cylinder is measured with a metre scale having least count 0.1 cm. Its diameter is measured with vernier calipers having least count 0.01cm. Given the length is 5.0 cm and diameter is 2.00cm. The percentage error in the calculated value of volume will be:

• A. 2%
• B. 1%
• C. 3%
• D. 4%

Answer 1

Answer: (C)

3%

Volume of cylinder $\left(V\right)=\pi r^{2}l$

$\frac{\Delta V}{V}\times 100=2\times \frac{\Delta r}{r}\times 100+\frac{\Delta \ell }{\ell }\times 100$

$=2\times \frac{0.01}{2}\times 100+\frac{0.1}{5}\times 100=1+2=3\%$