The approximate value of $(3.978)^{3/2}$ is

There is an error of $\pm 0.04 \text{ cm}$ in the measurement of the diameter of a sphere. When the radius is $10 \text{ cm}$,the percentage error in the volume of the sphere is

The radius of a cone of height $9 \text{ units}$ is changed from $2 \text{ units}$ to $2.12 \text{ units}$. The exact change and approximate change in the volume of the cone are respectively:

If $y=5x^2+6x+6$,$x=2$,and $\Delta x=0.001$,then the values of $\Delta y$ and $dy$ respectively are:

Find the approximate value of $f(3.02),$ where $f(x)=3x^{2}+5x+3$.

The approximate value of $(8.01)^{4/3} + (8.01)^2$ up to $3$ decimal places is