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      Question

      A cylinder 84 cm long is made of steel. Its external and

      internal diameters are 10 cm and 8 cm respectively. What is the volume of the steel in the cylinder (in 10-3 mΒ³) and correct up to three decimal places)?
      A 2.112 Correct Answer Incorrect Answer
      B 2.376 Correct Answer Incorrect Answer
      C 4.752 Correct Answer Incorrect Answer
      D 9.504 Correct Answer Incorrect Answer

      Solution

      Height of the cylinder = 84 cm External radius of the cylinder = 10/2 = 5 cm Internal radius of the cylinder = 8/2 = 4 cm As we know, Volume of the cylinder = Ο€ (R2 - r2)h = (22/7) Γ— (52 - 42) Γ— 84 cm3 = 22 Γ— 9 Γ— 12 cm3 =Β 2376 cm3 = 2376/(100 Γ— 100 Γ— 100) m^3 = 2376 Γ— 10-6 m3 = 2.376 Γ— 10-3 m3

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