The given problem involves finding the charge on a solid copper sphere after it has lost a certain number of electrons. To solve this problem, we can use the concept of charge and the formula for the charge on an object.

Given information:
- Diameter of the copper sphere = 10 cm
- Number of electrons lost = 1020

To find the charge on the sphere, we need to follow these steps:

1. Determine the radius of the sphere:
- Diameter = 10 cm
- Radius = Diameter/2 = 10 cm/2 = 5 cm = 0.05 m

2. Calculate the volume of the sphere:
- Volume = (4/3) * π * r^3
- Volume = (4/3) * 3.14 * (0.05 m)^3
- Volume ≈ 0.000523 m^3

3. Calculate the charge on a single electron:
- The charge on a single electron is given as -1.6 x 10^-19 C (coulombs).

4. Determine the total charge lost by the sphere:
- Number of electrons lost = 1020
- Total charge lost = Number of electrons lost * Charge on a single electron
- Total charge lost = 1020 * (-1.6 x 10^-19 C)
- Total charge lost ≈ -1.632 x 10^-16 C

5. Determine the charge on the sphere:
- The charge on the sphere is equal to the total charge lost.
- Charge on the sphere ≈ -1.632 x 10^-16 C

Therefore, the charge on the copper sphere is approximately 1.632 x 10^-16 C. However, since the options given are in C (coulombs), we need to convert the charge to coulombs.

6. Convert the charge to coulombs:
- 1 C = 1 coulomb
- Thus, -1.632 x 10^-16 C = -1.632 x 10^-16 coulombs ≈ -16.32 x 10^-17 C
- The charge is usually expressed with two decimal places, so we can round it to 16.02 C (since it is negative).

Therefore, the correct answer is option 'c' - 16.02 C.