The potential difference across the ends of a conductor is $(30 \pm 0.3) \ V$ and the current through the conductor is $(5 \pm 0.1) \ A$. The error in the determination of the resistance of the conductor is: (in $\%$)

Why should the measurement of physical quantities with large exponents in an experiment be taken with high precision?

$A$ packet contains silver powder of mass $20.23 \,g \pm 0.01 \,g$. Some of the powder of mass $5.75 \,g \pm 0.01 \,g$ is taken out from it. The mass of the powder left back is ................

$A$ public park,in the form of a square,has an area of $(100 \pm 0.2) \, m^2$. The side of the park is ......... $m$.

The length of a cylinder is measured with a meter rod having a least count of $0.1 \text{ cm}$. Its diameter is measured with vernier calipers having a least count of $0.01 \text{ cm}$. The length of the cylinder is $8.0 \text{ cm}$ and the radius is $4.0 \text{ cm}$. Find the percentage error in the calculated value of the volume. (in $\%$)

Error in the measurement of radius of a sphere is $0.2\%$. The error in the calculated value of its volume is ......... $\%$