Find the approximate value of $\sqrt{0.6}$ using differentials.

There is a possible error of $0.03 \text{ cm}$ in a scale of length $1 \text{ foot}$ with which the height of a closed right circular cylinder and the diameter of a sphere are measured as $3.5 \text{ feet}$ each. If the radii of both cylinder and sphere are same, then the approximate error in the sum of the surface areas of both cylinder and sphere is (in square feet)

The approximate value of $\sqrt{6560}$ is

The approximate value of $\cot ^{-1}(1.001)$ is

Electric current is measured by a tangent 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 it, then the percentage error in the current is:

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