Eight spherical rain drops of equal size are falling vertically through air with a terminal of `0.10 ms^(-10`. What should be the velocity if these drops were to combine to form one large spherical drop?

Explanation

To solve the problem of determining the terminal velocity of a single large spherical drop formed by combining eight smaller spherical raindrops, we can follow these steps:

### Step 1: Understand the relationship between the volumes of the drops
The volume of a sphere is given by the formula:
\[ V = \frac{4}{3} \pi r^3 \]

Let the radius of each small drop be \( R_1 \). Therefore, the volume of one small drop is:
\[ V_1 = \frac{4}{3} \pi R_1^3 \]
...