Consider a star with a mass of 8.7 x 1031 kg. Determine the radius of the star if a typical star has a density of 1400 kg/m3.
Use the formula density=mass/volume
Find volume of the star
I assume that the star is a sphere so volume = 4/3 pi r^2
From the volume, you can find radius :)
Sorry the formula is 4/3 pi r^3
To determine the radius of the star, we need to use the formula for the volume of a sphere. The formula for the volume of a sphere is:
V = (4/3) * π * r^3
Where V is the volume and r is the radius.
To find the radius, we need to rearrange this formula:
r = (3V / (4π))^ (1/3)
Given that the density of the star is 1400 kg/m^3, we can calculate the volume of the star using its mass.
First, we need to find the volume of the star:
V = (mass / density)
Given that the mass of the star is 8.7 x 10^31 kg and the density is 1400 kg/m^3:
V = (8.7 x 10^31 kg) / (1400 kg/m^3)
V = 6.21 x 10^28 m^3
Now we can substitute this value into the formula to find the radius:
r = (3 * 6.21 x 10^28 m^3 / (4π))^ (1/3)
r ≈ 1.45 x 10^9 m
Therefore, the radius of the star is approximately 1.45 x 10^9 meters.