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The error in the measurement of the radi...

The error in the measurement of the radius of a sphere is `1%`. Find the error in the measurement of volume.

A

`2%`

B

`3%`

C

`6%`

D

`4%`

Text Solution

Verified by Experts

The correct Answer is:
B

`(Deltar)/(r )xx100=1%`
`"Volume of shere V"=(4)/(3)pir^(3)`
Error in the measurement of volume
`(DeltaV)/(V)xx100=3(Deltar)/(r )xx100=3xx1=3%`
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