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A 42 cm long hollow cylinder has an outer diameter of 16 cm and an internal diameter of 12 cm. If the weight of the cylinder's material is 10 g/cm3, what is the weight of the hollow or empty cylinder? (π = 22/7)1. 32.960 kg2. 36960 kg3. 36.960 kg4. 32960 kg |
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Answer» Correct Answer - Option 3 : 36.960 kg Given: ⇒ Outer diameter of cylinder = 16cm ⇒ Outer radius of cylinder = 8cm ⇒ Inner diameter of cylinder = 12cm ⇒ Inner radius of cylinder = 6cm ⇒ Height of cylinder = 42cm Formula: ⇒ Volume of hollow cylinder = πh[(outer radius)2 - (inner radius)2] Calculation: ⇒ Volume of hollow cylinder = 22/7 × 42 × (82 - 62) = 3696 cm3 ⇒ Weight of hollow cylinder = 3696 × 10 = 36960 g ∴ Weight of cylinder = 36960 /1000 = 36.960 kg |
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