The approximate value of $3^{2.001}$,given that $\log 3 = 1.0986$,is

The approximate value of $\cos(30^{\circ} 30^{\prime})$ is,given that $1^{\circ} = 0.0175 \text{ rad}$ and $\cos 30^{\circ} = 0.8660$.

The approximate value of $\log _{10} 998$ is (given that $\log _{10} e=0.4343$ )

The approximate value of $\tan ^{-1}(0.999)$ is (use $\pi=3.1415$ )

The time $T$ of oscillation of a simple pendulum of length $L$ is governed by $T=2 \pi \sqrt{\frac{L}{g}}$,where $g$ is constant. The percentage by which the length must be changed in order to correct an error of loss equal to $2$ minutes of time per day is

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