The approximate value of $\frac{1}{(2.002)^2}$ is

The approximate change in the volume $V$ of a cube of side $x$ meters caused by increasing the side by $3\%$ is: (in $x^{3} \text{ m}^{3}$)

Find the approximate volume of metal in a hollow spherical shell whose internal and external radii are $3 \text{ cm}$ and $3.0005 \text{ cm}$,respectively.

There is a possible error of $0.03 \text{ cm}$ in a scale of length $1 \text{ foot}$ with which the height of a closed right circular cylinder and the diameter of a sphere are measured as $3.5 \text{ feet}$ each. If the radii of both cylinder and sphere are same, then the approximate error in the sum of the surface areas of both cylinder and sphere is (in square feet)

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:

The approximate value of $\sqrt[5]{33}$ correct to $4$ decimal places is