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Error and Uncertainty

If error in m...

Question

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

A

1 %

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B

1 / 3 %

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C

3 %

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D

10 %

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Solution

The correct option is C $3 %$
$V = \frac{4}{3} π r^{3}$

Total % error $= 3 \times 1$ % $= 3$ %

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