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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 ?
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- 20.5 kg
- 15.5 kg
- 16.5 kg
- 18.5 kg
Correct Option: D
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