Solution:
The initial mass of flask is 254 g, mass of flask when water added is 406.9 g thus mass of water will be difference of final and initial mass.
m=406.9 g-254 g=152.9 g
The density of water is 1.00 g/cm^{3}
volume can be calculated as follows:
V=\frac{m}{d}
Here, m is mass and d is density.
Putting the values,
V=\frac{152.9 g}{1.00 g/cm^{3}}=152.9 cm^{3}
In scientific notation, the volume of water in the flask will be 1.529\times 10^{2} cm^{3}.