A sphere is made of ice having radius 10 cm. Its radius decreases from 10 cm to 9.8 cm. Find approximations for the following:
(i) change in the volume
(ii) change in the surface area

A spherical balloon increase its surface area as the radius of the balloon increases from 10 cm to[ 10.4 cm. Use linear approximation to approximate the increase in the surface area. Also find the percentage error.

A circular plate expands uniformly under the influence of heat. If it's radius increases from 10.5 cm to 10.75 cm, then find an approximate change in the area and the approximate percentage change in the area.

The surface area of a sphere is 154 cm^(2) . Its radius is:

A right circular cylinder has radius r = 10 cm and height h = 20 cm suppose that the radius of the cylinder is increased from 10 cm to 10.1 cm and the height does not change. Estimate the change in the volume of the cylinder . Also calculate the relative error and percentage error .

If the radius of a sphere , with radius 10 cm , has to decrease by 0.1 cm approximately how much will its volume decrease ?

If the radius of the sphere is measured as 9 cm with an error of 0.03 cm, the approximate error in calculating its volume is