The formula for calculating the volume of a spherical raindrop is V=4/3πr^3, where V is the volume and r is the radius of the raindrop.
The differential equation for the volume of a spherical raindrop is derived from the relation between the volume of a sphere and its radius, using the chain rule of differentiation. This equation is then solved using integration techniques to obtain the final solution.
Using a differential equation allows us to model the changing volume of a raindrop over time, taking into account factors such as evaporation and surface tension. This gives a more accurate prediction of the final volume of the raindrop compared to using a simple formula.
No, the solution is specifically for spherical raindrops. The volume of other types of raindrops may be calculated using different equations or models.
The volume of a spherical raindrop decreases over time due to evaporation and increases due to surface tension. The exact rate of change depends on the size and composition of the raindrop, as well as environmental factors such as temperature and humidity.