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If the error in the measurement of radiu...

If the error in the measurement of radius is 2%, then the error in the determination of volume of the pshere will be

A

`8%`

B

`2%`

C

`4%`

D

`6%`

Text Solution

Verified by Experts

Volume of the sphere, V `= 4/3 pir^(3)`
`(DeltaV)/(V) xx 100 = 3 xx ((Deltar)/(r)xx100) = 3 xx 2%`
`(DeltaV)/(v) xx 100 = 6%`
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