If the error in measurement of the radius of a sphere is \(0.1\%,\) then the error in its volume will be:
1. \(0.3\%\)
2. \(0.4\%\)
3. \(0.5\%\)
4. \(0.6\%\)

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| 1. | \(6\text{%}\) | 2. | \(11\text{%}\) |
| 3. | \(12\text{%}\) | 4. | \(22\text{%}\) |
| 1. | \(1\%\) | 2. | \(1.5\%\) |
| 3. | \(2\%\) | 4. | \(2.5\%\) |
| 1. | \(2\%+1\%\) | 2. | \(2\%-1\%\) |
| 3. | \(\dfrac{2\%+1\%}{2}\) | 4. | \(\dfrac{2\%-1\%}{2}\) |

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The relative error in \(Z,\) if \(Z=\dfrac{A^{4}B^{1/3}}{CD^{3/2}}\) is:
1. \(\dfrac{\Delta A}{A}+\dfrac{\Delta B}{B}+\dfrac{\Delta C}{C}+\dfrac{\Delta D}{D}\)
2. \(4\dfrac{\Delta A}{A}+\dfrac{1}{3}\dfrac{\Delta B}{B}-\dfrac{\Delta C}{C}- \dfrac{3}{2}\dfrac{\Delta D}{D}\)
3. \(4\dfrac{\Delta A}{A}+\dfrac{1}{3}\dfrac{\Delta B}{B}+\dfrac{\Delta C}{C}+\dfrac{2}{3}\dfrac{\Delta D}{D}\)
4. \(4\dfrac{\Delta A}{A}+\dfrac{1}{3}\dfrac{\Delta B}{B}+\dfrac{\Delta C}{C}+\dfrac{3}{2}\dfrac{\Delta D}{D}\)

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Which of the following measurement is most precise?
1. \(5.00~\text{mm}\)
2. \(5.00~\text{cm}\)
3. \(5.00~\text{m}\)
4. \(5.00~\text{km}\)

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