If the percentage error in the radius of a circle is $3\%$,then the percentage error in its area is:

If the radius of a circle increases from $3 \, cm$ to $3.2 \, cm$,then the increase in the area of the circle is

By considering $1^{\prime} = 0.0175$ radians,the approximate value of $\cot 45^{\circ} 2^{\prime}$ is

The semi-vertical angle of a right circular cone is $45^{\circ}$. If the radius of the base of the cone is measured as $14 \text{ cm}$ with an error of $\left(\frac{\sqrt{2}-1}{11}\right) \text{ cm}$,then the approximate error in measuring its total surface area is (in $\text{sq. cm}$):

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

If the radius of a sphere is measured as $7 \text{ m}$ with an error of $0.02 \text{ m}$, then find the approximate error in calculating its volume. (in $\pi \text{ m}^3$)