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The radius of a sphere is measured to be...

The radius of a sphere is measured to be `(5.3+-0.1)` cm . Calculate the percentage error in measurement of its volume.

Text Solution

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We are given :
Radius `=(5.3+-0.1)cm`
Here, `r=5.3` and `Deltar=0.1`
We are to calculate , `%` error in V
Using relation `V=(4)/(3)pir^(3)`, we get `V prop r^(3)`.
Percentage error, `(DeltaV)/(V)%=3(Deltar)/(r )xx100=3xx(0.1)/(5.3)xx100=5.7%`
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