a star has a mass of 2.0 10 30kg and a radius of 3.4*106m. what is its average density in kg/m3
To find the average density of the star, you need to divide its mass by its volume.
First, let's calculate the volume of the star. The volume of a sphere can be calculated using the formula:
V = (4/3) * π * r^3
where V is the volume and r is the radius of the sphere.
Plugging in the given radius of 3.4 * 10^6 m into the formula, we can calculate the volume:
V = (4/3) * 3.14 * (3.4 * 10^6)^3
V ≈ 179.59 * 10^18 m^3
Now, we can calculate the average density by dividing the mass by the volume:
Density = Mass / Volume
Dividing the given mass of 2.0 * 10^30 kg by the calculated volume, we can find the average density:
Density ≈ 2.0 * 10^30 kg / 179.59 * 10^18 m^3
Density ≈ 1.11 * 10^11 kg/m^3
So, the average density of the star is approximately 1.11 * 10^11 kg/m^3.