That they do not mix means that the volumes add and each volume can be found individually.
VH = 35.3g (1ml/.684g) = 51.61 ml and VW = 38.1 ml (density is 1 g/ml)
Total volume is 51.61 + 38.1 = 89.71 ml = 89.71 cm3
To find the height just divide the volume by the cross-sectional area. A = π(3.04 cm)2
I'll leave the rest to you. Take care.