A glass vessel measures exactly `10 cm xx 10 cm xx 10 cm` at `0^@C`. It is filled completely with mercury at this temperature. When the temperature is raised 10 `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, we will follow these steps:

### Step 1: Calculate the initial volume of the glass vessel and mercury.
The dimensions of the glass vessel are given as \(10 \, \text{cm} \times 10 \, \text{cm} \times 10 \, \text{cm}\). Therefore, the volume \(V_G\) of the glass vessel at \(0^\circ C\) is:

\[ V_G = 10 \, \text{cm} \times 10 \, \text{cm} \times 10 \, \text{cm} = 1000 \, \text{cm}^3 \]
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