One cubic meter (1.0 m3) of aluminum has a mass of 2700 kg, and a cubic meter of iron has a mass of 7860 kg ... Find the radius of a solid aluminum sphere that has the same mass as a solid iron sphere of radius 2.57 cm ... Answer in units of cm

Question

Mathematics

Garrett Dodson

9 October, 08:54

One cubic meter (1.0 m3) of aluminum has a mass of 2700 kg, and a cubic meter of iron has a mass of 7860 kg ... Find the radius of a solid aluminum sphere that has the same mass as a solid iron sphere of radius 2.57 cm ... Answer in units of cm

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Kismet · Answer 1

4/3 · 2.57³ π · 7,860 = 4/3 · r³ π · 2,700 / : 4/3 π

2.57³ · 7860 = r³ · 2,700

r³ = 2.57³ · (7,860 : 2.700) = 2.57³ · 2.911111 ... / ∛

r ≈ 2.57 · 1.428 = 3.67 cm

Answer: Radius of a solid aluminium sphere is 3.67 cm.