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CGP EDU Academic Team
Published on: September 12, 2026
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 2.0 cm . The percentage error in the calculated value of the volume will be
Text Solution
Verified by ExpertsThe correct answer is:
C
Volume of cylinder \(\Psi = \pi^2 f\)
Percentage error in volume
\(\frac{NV}{V} \times 100 - \frac{2Vr}{r} \times 100 + \frac{Vr}{r} \times 100\)
\(= \left| 2 \, / \, \frac{0.01}{2.0} \, / \, 100 + \frac{0.1}{5.0} \, / \, 100 \right|\) =\{1 + 2\}SS = -33\%
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