1. **State the problem:** We need to find the work required to move a charge of 3 nC from the center of a hollow conducting sphere to its shell, where the sphere has a radius of 0.2 m. 2. **Relevant physics concept:** In electrostatics, the electric potential inside a hollow conducting sphere is constant and equal to the potential on its surface. This means the potential difference between the center and the shell is zero. 3. **Formula for work done:** Work done $W$ to move a charge $q$ through a potential difference $\Delta V$ is given by: $$W = q \times \Delta V$$ 4. **Evaluate the potential difference:** Since the potential inside the hollow conducting sphere is uniform, $$\Delta V = V_{shell} - V_{center} = 0$$ 5. **Calculate the work done:** $$W = 3 \times 10^{-9} \times 0 = 0$$ 6. **Conclusion:** No work is required to move the charge from the center to the shell inside a hollow conducting sphere because the potential is the same everywhere inside it.