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