The diameters of smaller and larger pistons in a hydraulic press are 3 cm and 15 cm respectively. To move out the larger piston by 0.4 cm calculate the distance through which the smaller piston should be pushed in.

Explanation

To solve the problem step by step, we will use the principle of conservation of energy in a hydraulic press, which states that the work done on one piston is equal to the work done by the other piston.

### Step-by-Step Solution:

1. **Identify the Given Data:**
- Diameter of smaller piston (D1) = 3 cm
- Diameter of larger piston (D2) = 15 cm
- Distance moved by the larger piston (L2) = 0.4 cm
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