The radius of a sphere is $7 \text{ cm}$. If an error of $0.08 \text{ cm}^2$ is made in measuring its surface area,then the approximate error (in $\text{cm}^3$) found in its volume is:

Find the approximate value of $\sqrt{25.3}$.

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 $\frac{1}{(2.002)^2}$ is

For a given function $y=f(x)$,$\delta y$ denotes the actual error in $y$ corresponding to an actual error $\delta x$ in $x$,and $dy$ denotes the approximate value of $\delta y$. If $y=f(x)=2x^2-3x+4$ and $\delta x=0.02$,then the value of $\delta y - dy$ when $x=5$ is

Find the approximate value of $(26.57)^{\frac{1}{3}}$.