Quality of Water and Vapour at P=200kPa: 10.7%

[soursweetx3]

A vertical circular cylinder holds 1 cm of liquid water and 100 cm of vapour.
If P = 200 kPa, the quality is nearest to _____.
1)1.02%
2) 10.7%
3) 40.6%
4) 80.3%
Answer is 2). Why? i can't seems to work out the answer.
From Steam table, at P=200kPa, (Specfic volume) vf= 0.001061, vg= 0.88578

 

[Chestermiller]

If the cross sectional area of the cylinder is A (cm^2), in terms of A, what is the volume of liquid water in the cylinder (in m^3)? What is the volume of water vapor in the cylinder (in m^3). What is the mass of liquid water in the cylinder? What is the mass of water vapor in the cylinder?