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 radius is 2.00 cm. The percentage error in the calculated value of the volume will be
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a
1%
b
2%
c
3%
d
4%
answer is C.
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Detailed Solution
Volume of cylinder V=πr2lPercentage error in volumeΔVV×100=2Δrr×100+Δll×100=2×0.012.0×100+0.15.0×100=(1+2)%=3%
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 radius is 2.00 cm. The percentage error in the calculated value of the volume will be