The approximate value of $\sin 31^{\circ}$ is

If the semi-vertical angle of a cone is $45^{\circ}$ and its height is $20.025 \text{ cm}$,then the approximate value of its curved surface area (in $\text{sq. cm}$) is

Use differentials to approximate $\sqrt{36.6}$.

Find the approximate value of $(255)^{\frac{1}{4}}$.

Using differentials,find the approximate value of $\left(\frac{17}{81}\right)^{\frac{1}{4}}$.

Find the approximate change in the surface area of a cube of side $x$ metres caused by decreasing the side by $1 \%.$