9514 1404 393
Answer:
a) radius: 6 (m); mass: 22 (kg)
b) volume: 19 (m³)
c) d ≈ 2.8×10^3 kg/m³
Explanation:
The order of magnitude is the exponent of 10 when the number is written in scientific notation.
a) radius: 1.6×10^6 m, so the order of magnitude is 6 when the units are meters.
mass: 4.8×10^22 kg, so the order of magnitude is 22 when the units are kg.
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b) The volume is ...
V = (4/3)πr^3 ≈ 1.716×10^19 m^3, so the order of magnitude of the volume is 19 when the units are m^3.
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c) The ratio of mass to volume is ...
d = (4.8×10^22)/(1.716×10^19) ≈ 2.8×10^(22-19) = 2.8×10^3 kg/m^3, so the order of magnitude is 3 when the units are kg/m^3.