Weight of a solid metallic sphere of radius 4 cm is 4 kg. The weight of a hollow sphere made with same metal, whose outer diameter is 16 cm and inner diameter is 12 cm, is?

Q: Weight of a solid metallic sphere of radius 4 cm is 4 kg. The weight of a hollow sphere made with same metal, whose outer diameter is 16 cm and inner diameter is 12 cm, is?

Volume of solid sphere of radius 4 cm = (4/3)π(4)3 cm3 Volume of hollow sphere = 4/3π[(8)3 - (6)3] cm3 ∵ Weight of 4/3π(4)3 cm3 = 4 kg = 4(512 - 216)/43 = 18.5 kg

20.5 kg
15.5 kg
16.5 kg
18.5 kg

Correct Answer: 18.5 kg

Explanation:

Volume of solid sphere of radius 4 cm = (4/3)π(4)³ cm³
Volume of hollow sphere = 4/3π[(8)³ - (6)³] cm³
∵ Weight of 4/3π(4)³ cm³ = 4 kg
= 4(512 - 216)/4³ = 18.5 kg

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