A piece of gold weighs 50 g in air and 45 g in water. If there is a cavity inside the piece of gold, then find its volume [Density of gold = 19.3 g/cc].

Explanation

To find the volume of the cavity inside the piece of gold, we can follow these steps:

### Step 1: Calculate the volume of the gold piece without the cavity.
We know the mass of the gold piece in air is 50 g and the density of gold is 19.3 g/cc. The volume \( V \) of the gold can be calculated using the formula:

\[ V = \frac{\text{mass}}{\text{density}} \]
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