A star is estimated to have a mass of 1 x 10^36 kg. Assuming it to be a sphere of average radius

7.5 x 10^5 km, calculate the average density of the star in units of grams per cubic centimeter.

Thanks for the help!

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A star is estimated to have a mass of 1 x 10^36 kg. Assuming it to be a sphere of average radius

7.5 x 10^5 km, calculate the average density of the star in units of grams per cubic centimeter.

Thanks for the help!

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## Answers (1)

d = m / v

v = 4/3 * pi * r^3 = 4/3 * pi * (7.5 x 10^5 km)^3

v = 1.7671459 x 10^18 km^3

d= 10^36 kg / (1.7671459 x 10^18 km^3) = 5.6588424 x 10^17 kg / km^3 = 5.6588424 x 10^20 g / (10^9 m^3) = 5.6588424 x 10^20 g / (10^15 cm^3) = 5.6588424 x 10^11 g / cm^3