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The error in measuring the side of a cub...

The error in measuring the side of a cube is `+- 1%`. The error in the calculation of the volume of the cube will be about

A

`+-0.001%`

B

`+-1%`

C

`+-6%`

D

`+-3%`

Text Solution

Verified by Experts

Volume of cube V- (side `a)^(3)`
`therefore V=a^(3)`. Take log and differentiate.
`(DeltaV)/(V)=3(Deltaa/(a)=3(+-+-1%)=+-3%`
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