Find the approximate value of $(1.999)^{5}$.

Find the approximate change in the volume $V$ of a cube of side $x$ metres caused by increasing the side by $1 \%$.

The approximate value of $\sqrt[3]{730}$ obtained by the application of derivatives is

Find the approximate value of $(0.0037)^{\frac{1}{2}}$.

Electric current $(I)$ is measured by a galvanometer, where the current is proportional to the tangent of the angle $( \theta)$ of deflection. If the deflection is read as $45^{\circ}$ and an error of $1\%$ is made in reading the angle, the percentage error in the current is:

If an error of $0.02 \text{ cm}^2$ is found in the surface area of a sphere when its radius is measured as $10 \text{ cm}$, then the approximate error that occurs in the volume of the sphere, in cubic centimetres, is