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  • The length of a cylinder is measured with a meter rod having least count 0.1 cm. Its diameter is measured with vernier calipers having least count 0.01 cm. Given that length is 5.0 cm. an

The length of a cylinder is measured with a meter rod having least count 0.1 cm. Its diameter is measured with vernier calipers having least count 0.01 cm. Given that length is 5.0 cm. and the radius is 2.0 cm. The percentage error in the calculated value of the volume will be

Option: 1

1


Option: 2

2


Option: 3

3


Option: 4

4


Answers (1)

best_answer

The volume of a cylinder, V=\pi r^2l

The percentage error in volume= 

\frac{\Delta V}{V}\times 100=(2\frac{\Delta r}{r}\times 100)+(\frac{\Delta l}{l}\times 100)

 

\Rightarrow \frac{\Delta V}{V}\times 100=(2*\frac{0.01}{2}\times 100)+(\frac{0.1}{5}\times 100)=(1+2)\%=3\%

Posted by

Gautam harsolia

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