What radius should a conducting ball have for its capacity in vacuum to be equal to 1 F?

The electrical capacity of a conducting ball can be calculated by the formula:
С = 4Π * ε * ε0 * r, where С is the capacitance of the conducting ball (С = 1 Ф), ε is the relative permittivity of the dielectric (ε = 1 (vacuum)), ε0 is the electrical constant (ε0 = 8.85 * 10 ^ -12 F / m), r is the radius of the conducting ball (m).
Let us express and calculate the radius of the conducting ball:
r = С / ε * ε0 = 1 / (4 * 3.14 * 1 * (8.85 * 10 ^ -12)) = 0.009 * 10 ^ 12 m = 9 * 10 ^ 9 m.
Answer: The radius of the conducting ball should be equal to 9 * 10 ^ 9 m.