A glass vessel measures exactly 10cm xx 10 cm xx 10 cm at `0^@C`. It is filled completely with mercury at this temperature. When the temperature is raised to `10^@C`, `1.6cm^3` of mercury overflows. Calculate the coefficient of volume expansion of mercury. coefficient of linear expansion of glass `= 6.5 xx 10^(-6)C^(-1)`.

Explanation

To solve the problem step by step, we will calculate the coefficient of volume expansion of mercury based on the information provided.

### Step 1: Understand the problem
We have a glass vessel with dimensions 10 cm x 10 cm x 10 cm, which means its volume at 0°C is:
\[ V = 10 \, \text{cm} \times 10 \, \text{cm} \times 10 \, \text{cm} = 1000 \, \text{cm}^3 \]
At 0°C, this vessel is filled with mercury. When the temperature is raised to 10°C, 1.6 cm³ of mercury overflows.
...