Water has a density of $1.0\,\text{g cm}^{-3}$. Glycerine has a density of $1.3\,\text{g cm}^{-3}$. A student measures $40\,\text{cm}^3$ of glycerine into a container. The student then adds water so that the container contains a mixture of water and glycerine. Assume that the combined volume of the water and glycerine remains unchanged when the two liquids are mixed. What volume of water must be added to obtain a mixture with density $1.1\,\text{g cm}^{-3}$?
- A$4.0\,\text{cm}^3$
- B$8.0\,\text{cm}^3$
- C$34\,\text{cm}^3$
- D$80\,\text{cm}^3$