Question

find the average density of a red giant star with a mass of 20×10³⁰ kg (approximately 10 solar masses) and a radius of 150×10⁹ m (equal to the earth's distance from the sun).

Answer 1

To find the average density of a red giant star with a given mass and radius, we can use the formula for density that is p = m/V, where p is the density, m is the mass, and V is the volume1. The volume of a sphere, which is a good approximation for a star, is given by V = 4/3 πr^3, where r is the radius2. Therefore, plugging in the values for the mass and radius of the red giant star, we get:

p = m/V p = (20×10³⁰ kg) / (4/3 π (150×10⁹ m)^3) p = 0.0007 kg/m^3

Therefore, the average density of the red giant star is about 0.0007 kg/m^3. This is much lower than the average density of the sun, which is about 1.4 kg/m^33, because red giants are very large and diffuse stars that have expanded their outer layers due to nuclear fusion in their cores4

Step-by-step explanation: