$A$ wire has a mass $0.3 \pm 0.003 \, g$,radius $0.5 \pm 0.005 \, mm$ and length $6 \pm 0.06 \, cm$. The maximum percentage error in the measurement of its density is .......... $\%$

The dimensions of a cone are measured using a scale with a least count of $2 \text{ mm}$. The diameter of the base and the height are both measured to be $20.0 \text{ cm}$. The maximum percentage error in the determination of the volume is. . . . .

The most accurate reading of the length of a $6.28 \,cm$ long fibre is ............... $cm$.

In the measurement of a physical quantity $X = \frac{A^2 B}{C^{1/3} D^3}$,the percentage errors introduced in the measurements of the quantities $A, B, C$,and $D$ are $2 \%, 2 \%, 4 \%$,and $5 \%$,respectively. Then,the minimum amount of percentage error in the measurement of $X$ is contributed by:

Which of the following comes under the category of random errors?

The relative error in the determination of the surface area of a sphere is $\alpha$. Then the relative error in the determination of its volume is