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The error in the measurement of the radius of a sphere is `1%`. Find the error in the measurement of volume.A. `1%`B. `2%`C. `3%`D. `5%`

Answer» Correct Answer - c
If the error in x is `deltax`, then the percentage error in `x^(n)` is `n((deltax)/(x))xx100%`. For a sphere `V=(4)/(3)pir^(3)`
In this case x = r and n = 3 and `((dx)/(x))=(1)/(100)`.
`therefore` Percentage error `=3((1)/(100))xx100%=3%`


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