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Units and Measurement question

2008 · Q168
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Units and Measurement question

2008 · Q168

NEETPhysicsUnits and MeasurementMCQ+4 / −1
If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the sphere will be
  1. A
    8%
  2. B
    2%
  3. C
    4%
  4. D
    6%
View written solutionFree

Correct answer: D

As we know,

V=43πR3V = {4 \over 3}\pi {R^3}V=34​πR3

∴\therefore∴ dVV=3dRR{{dV} \over V} = 3{{dR} \over R}VdV​=3RdR​

Error in the dimension of the volume is = 3 ×\times× 2% = 6 %

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