Question 41

125 identical spherical drops merge to form one large spherical drop. Ratio of the surface area of the large drop to any one of the individual drops is

Solution

The volume is conserved, so $$\frac{4}{3}\pi R^3 = 125 \times \frac{4}{3}\pi r^3$$ and $$R = 5r$$. The ratio of surface areas is $$\frac{R^2}{r^2} = 25$$.

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