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Sagot :
Answer:
Explanation:
Volume of inner core = 4/3 π R₁³
where R₁ is radius of inner core so R₁ = 1220 km
Volume of inner core = 4/3 π (1220 km )³
= 1764.4 x 10¹⁷ m³ - 4/3 π (1220 km )³
= 76.02 x 10⁸ x 10⁹ m³
= 76.02 x 10¹⁷ m³
Density = 13000 kg / m³
mass = volume x density
= 76.02 x 10¹⁷ x 13000
= 988.26 x 10²⁰ kg
Volume of outer core = 4/3 π (3480 km )³ - 4/3 π (1220 km )³
= 1764.4 x 10⁸ km³ - 4/3 π (1220 km )³
= 1764.4 x 10⁸ x 10⁹m³ - 4/3 π (1220 km )³
= 1764.4 x 10¹⁷ m³ - 4/3 π (1220 km )³
= 1764.4 x 10¹⁷ m³ - 76.02 x 10¹⁷ m³
= 1688.38 x 10¹⁷ m³
density = 11100 kg /m³
mass of outer core= 1688.38 m³ x10¹⁷ x 11100 kg /m³
= 18741 x 10²⁰ kg
Volume of outer mantle = 4/3 π (6371 km )³ - 4/3 π (3480 km )³
= 10826 x 10¹⁷ m³- 1764.4 x 10¹⁷ m³
= 9062 x 10¹⁷ m³
density = 4400 kg /m³
mass of outer core= 9062 x 10¹⁷ m³ x 4400 kg /m³
= 39872.8 x 10²⁰ kg
Total mass of the earth = 988.26 x 10²⁰ kg + 18741 x 10²⁰ kg +39872.8 x 10²⁰ kg
= 59602.06 x 10²⁰ kg .
Total volume = 4/3 π (6371 km )³
= 10826 x 10¹⁷ m³
Density = mass / volume
= 59602.06 x 10²⁰ kg / 10826 x 10¹⁷ m³
= 5505.45 kg / m³
B )
Mass = 5.974 x 10²⁴ kg
volume = Total volume = 4/3 π (6371 km )³
= 10826 x 10¹⁷ m³
density = 5.974 x 10²⁴ kg / 10826 x 10¹⁷ m³
= 5518.2 kg / m³
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