Find the approximate value of $(3.968)^{\frac{3}{2}}$.

Using differentials,find the approximate value of $\sqrt{0.082}$. Let $f(x) = \sqrt{x}$.

Using differentiation,the approximate value of $f(x) = x^2 - 2x + 1$ at $x = 2.99$ is ....

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 semi-vertical angle of a right circular cone is $30^{\circ}$. If the height of the cone is $6.125 \text{ cm}$,then the approximate value of the volume of the cone (in cubic $\text{cm}$) is

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