A ball of radius 10 cm is taken and a cylindrical hole of radius 1 cm is drilled through the centre. Which of the options listed below is the closest in value to the ratio of the total surface area of the hollowed out ball to the surface area of the original ball?
1
\(\frac{219}{200}\)
2
\(\frac{1}{10}\)
3
\(\frac{221}{200}\)
4
\(\frac{11}{5}\)