# Problem №2 (15 points)

An empty glass jar is three times lighter than the same jar filled to the brim with milk. If it is known that the volume occupied by the glass is ten times less than the volume occupied by the milk, then compare the densities of glass and milk. The density of a material is defined as the ratio of the mass of the material to its volume.

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# Solution:

From the condition:
$m_{C T}=\frac{m_{C T}+m_{M}}{3}$, i.e. $m_{M}=2 m_{C T}$

(5 points)

$10 \cdot V_{C T}=V_{M}$

(5 points)

## Therefore, the density:

$\rho_{M}=\frac{m_{M}}{V_{M}}=\frac{2 m_{C T}}{10 V_{C T}}=0.2 \rho_{C T}$