# Estimate the average density of a star Alcyone if its mass is 6 solar masses and its radius is 10 solar radii.

November 15, 2020 | Education

| We find the density by the formula p = m / V,

where m is the mass and V is the volume of the star.

The star is shaped like a ball.

The volume of the ball is found by the formula

V = 4/3 * n * R ^ 3,

and then p = 3m / 4nR ^ 3

p = 3 * 6Mc / 4 * 3.14 * 10 ^ 3 * R ^ 3; p = 18 * 2 * 10 ^ 30/4 * 3.14 * (7 * 10 ^ 8) ^ 3; p = 8.4 * 10 ^ 3 (kg / m3).

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