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 $\pi \text{ m}^3$)

If the increase in the side of a square is $6 \%$,then the approximate percentage increase in its area is: (in $\%$)

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 $\text{sq. cm}$):

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

If the radius of a spherical balloon increases by $0.1 \%$, then its volume increases approximately by (in $\%$)

If the relative errors in the base radius and the height of a cone are same and equal to $0.02$, then the percentage error in the volume of that cone is