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If error in measurement of radius of a s...

If error in measurement of radius of a sphere is 1%, what will be the error in measurement of volume?

Text Solution

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`(Delta r)/(r ) xx 100=1%`
Volume of sphere `V= (4)/(3) pi r^(3)`
Error in the measurement of volume
`(Delta V)/(V) xx 100= 3 (Delta r)/(r ) xx 100 = 3 xx 1= 3%`
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