The approximate value of $\cos(30^{\circ} 30^{\prime})$ is,given that $1^{\circ} = 0.0175 \text{ rad}$ and $\cos 30^{\circ} = 0.8660$.

The approximate value of $\log _{10} 1002$ is (Given $\log _{10} e = 0.4343$)

Find the approximate change in the volume $V$ of a cube of side $x$ meters caused by increasing the side by $2 \%$.

If $f(x)=3x^{2}+15x+5$,then the approximate value of $f(3.02)$ is (in $.66$)

Consider the following statements:
$A$ is the relative error in the area of a square when the relative error in its side is $0.4$.
$B$ is the relative error in the volume of a sphere when the relative error in its radius is $0.3$.
$C$ is the relative error in the surface area of a closed cylinder whose height is equal to its radius, when the relative error in its height is $0.2$.
$D$ is the approximate error in $y = x^2 + x - 3$ when $x = 2$ and $\delta x = 0.1$.
The ascending order of the values of errors in these statements is:

If the radius of a sphere is measured as $9 \text{ m}$ with an error of $0.03 \text{ m}$,then find the approximate error in calculating its surface area. (in $\pi \text{ m}^2$)