A spherical ball of lead 3cm in diameter is melted and recast into three spherical balls. If the diameters of two balls be `3/2c m` and 2cm, find the diameter of the third ball.

Explanation

To solve the problem, we need to find the diameter of the third spherical ball after melting a lead ball of diameter 3 cm and recasting it into three smaller balls. Here’s the step-by-step solution:

### Step 1: Calculate the volume of the original lead ball
The formula for the volume \( V \) of a sphere is given by:

\[ V = \frac{4}{3} \pi r^3 \]
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