Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its surface area.

where V = volume (mm³), t = time (min), k = the evaporation rate (mm/min), and A = surface area (mm²). Use Euler’s method to compute the volume of the droplet from t = 0 to 10 min using a step size of 0.25 min. Assume that k = 0.08mm/min and that the droplet initially has a radius of 2.5 mm. Assess the validity of your results by determining the radius of your final computed volume and verifying that it is consistent with the evaporation rate.

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