We can determine how the density changes with radius in the Sun using:

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Helioseismology is the study of the internal structure and dynamics of the Sun through the observation of its surface oscillations. These oscillations are caused by sound waves that travel through the Sun's interior and are affected by its density structure. By measuring the frequencies and modes of these oscillations, scientists can infer the density variation with radius in the Sun. This is a powerful technique that has allowed us to understand the structure and evolution of our closest star.

We Can Determine How the Density Changes with Radius in the Sun