Answer:
2400 cm
Explanation:
The milky way has diameter of 100000 light years.
[tex]100000\ ly=24\ cm\\\Rightarrow 1\ ly=\frac{24}{100000}\ cm[/tex]
The local group is the collection of galaxies which includes the milky way.
10 million light years is the diameter of the local group.
[tex]10\times 10^6\ ly=10\times 10^6\times \frac{24}{100000}\ cm\\\Rightarrow 10\times 10^6\ ly=2400\ cm[/tex]
Hence, the diameter of the scale model of the local group would be 2400 cm
