The average density of planet earth is 5.52 g/cm3. Knowing that Earth has a mass of...

The average density of planet earth is 5.52 g/cm3. Knowing that Earth has a mass of 5.97*10^27g, determine the earth radius in miles. ( 1 mile = 1609 meters).

Expert Solution

We have,
density of the Earth = 5.52 g/cm³
and a mass of the Earth = 5.97x10²⁷g

Therefore, volume of the Earth = mass/density = (5.97x10²⁷g) / (5.52 g/cm³)
                                               = 1.08x10²⁷ cm³
   We know that, volume of circle = (4/3)πr³ = 1.08x10²⁷ cm³
                                           r³ = 0.258 10²⁷cm³
                                           r = 0.637 x 10⁹ cm
                                           r = 0.637 x 10⁹ x 10^-2 m
                                               = 0.637 x 10⁷ meters
                                           r = 6.37 x 10⁶ /1609 miles

                                           r = 3.96 x 10³ miles
   Therefore, the radius of the Earth is = 3.96 x 10³ miles = 3960 miles

queen_honey_blossom answered 3 years ago

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