If the relative errors in the base radius and the height of a cone are same and equal to $0.02$, then the percentage error in the volume of that cone is

Use differentials to approximate $(25)^{\frac{1}{3}}$.

The approximate value of $\sqrt[3]{64.04}$ is

Water is dripping out from a conical funnel of semi-vertical angle $\frac{\pi}{4}$ at the uniform rate of $2 \text{ cm}^2/\text{sec}$ in the surface area,through a tiny hole at the vertex of the bottom. When the slant height of the cone is $4 \text{ cm}$,find the rate of decrease of the slant height of water.

The approximate value of $y=(1.01)^3+2(1.01)^{\frac{3}{2}}+5$ is

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