Harder Mathematical Problems
Melting Snowballs ★★★

In winter, someone made two snowballs, one of which had twice the diameter of the other. Unfortunately, the weather did not cooperate, and the snowballs started to melt soon. The melting occurred only at the surface of the balls, so the rate at which the balls melted was proportional to the surface area of the remaining portions of the balls.

The question: How much of the small snowball was left when half of the volume of the large snowball had melted?

The solution: Click here!