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If the error in the measurement of radiu...

If the error in the measurement of radius of a sphere in `2%` then the error in the determination of volume of the spahere will be

A

`2% `

B

`4%`

C

`6%`

D

`8%`

Text Solution

Verified by Experts

The correct Answer is:
C
Volume of sphere `= 4/3 pi r^3`
`Delta r = 2% implies (Delta v)/(V) = (3 Delta r)/(r)`
`implies (Delta v)/(V) = 3 xx 2 = 6%`
Error in determination of volume of sphere is equal to 6%.
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