Worked Example 5
The total surface area of a spherical ice-ball is decreasing at a rate of $2$ cm$^{2}$/s. Find the rate of change of the volume when its radius is $0.5$ cm.
The total surface area of a spherical ice-ball is decreasing at a rate of $2$ cm$^{2}$/s. Find the rate of change of the volume when its radius is $0.5$ cm.