Water has a density of $1.0\,\text{g cm}^{-3}$, whereas glycerine has a density of $1.3\,\text{g cm}^{-3}$. Water is poured into a measuring cylinder that already contains $40\,\text{cm}^3$ of glycerine until the mixture has a density of $1.1\,\text{g cm}^{-3}$. Assume that the mixing process does not change the total volume of the liquid. What is the volume of water added?
- A$40\,\text{cm}^3$
- B$44\,\text{cm}^3$
- C$52\,\text{cm}^3$
- D$80\,\text{cm}^3$