The approximate value of $\log _{10} 99$ is (Given $\log _{10} e = 0.4343$)

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:

The value of $\sqrt{24.99}$ is

The diameter of a sphere is measured as $42 \text{ cm}$. If there is an error of $1/77 \text{ cm}$ in measuring it, then the error involved in the volume of that sphere (in cubic centimeters) is

The semi-vertical angle of a cone is $45^{\circ}$. If the height of the cone is $20.025 \ cm$,then the approximate value of its lateral surface area (in sq. $cm$) is

The approximate value of $\cos \left(59^{\circ} 30^{\prime}\right)$ is (given $1^{\circ} = 0.0175^{c}, \sin 60^{\circ} = 0.8660$)