The density of water is $1.0\ \text{g cm}^{-3}$. The density of glycerine is $1.3\ \text{g cm}^{-3}$. A student pours a volume of $40\ \text{cm}^3$ of glycerine into a container. The student then adds water to the container in order to produce a water-and-glycerine mixture. Assume that, when the two liquids are combined, the total volume of water and glycerine stays unchanged. 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$80\ \text{cm}^3$