The length,breadth,and thickness of a strip are $(10.0 \pm 0.1) \; cm$,$(1.00 \pm 0.01) \; cm$,and $(0.100 \pm 0.001) \; cm$ respectively. The most probable error in its volume will be?

$Assertion$ : The error in the measurement of radius of the sphere is $0.3\%$. The permissible error in its surface area is $0.6\%$.
$Reason$ : The permissible error is calculated by the formula $\frac{\Delta A}{A} = \frac{4\Delta r}{r}$.

If the error in the measurement of the radius of a sphere is $2\%$,then the error in the determination of the volume of the sphere will be ........ $\%$

$A$ physical quantity $A$ is dependent on four other physical quantities $p, q, r,$ and $s$ as given by the relation $A = \frac{\sqrt{pq}}{r^2s^3}.$ If the percentage errors of measurement in $p, q, r,$ and $s$ are $1\%, 3\%, 0.5\%,$ and $0.33\%$ respectively,then the maximum percentage error in $A$ is .......... $\%$.

If $f = x^2$,what is the relative error in $f$?

The radius of a sphere is $(5.3 \pm 0.1) \, cm$. The percentage error in its volume is