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The error in the measurement of the radi...

The error in the measurement of the radius of a sphere is `1%`. Find the error in the measurement of volume.

Text Solution

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Volume `V = (4)/(3) pi r^(3) rArr DeltaV = (4)/(3) pi 3 r^(2) Delta r`
`( Delta V)/(V) xx 100 = 3 ( Delta r)/( r ) xx 100 = 3 xx 1% = 3%`
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Knowledge Check

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

    A
    0.01
    B
    `(1)/(3)%`
    C
    0.03
    D
    None of these

  • The error in the measurement of the radius of a sphere is 0.2%. What is the percentage error in the measurement of its surface area?

    A
    `0.2%`
    B
    `0.4%`
    C
    `0.6%`
    D
    `0.8%`

  • The error in measurement of radius of a sphere is 0.1% then error in its volume is -

    A
    `0.3%`
    B
    `0.4%`
    C
    `0.5%`
    D
    `0.6%`

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