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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 m³) 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 = π (R2 - r2)h = (22/7) × (52 - 42) × 84 cm3 = 22 × 9 × 12 cm3 = 2376 cm3 = 2376/(100 × 100 × 100) m^3 = 2376 × 10-6 m3 = 2.376 × 10-3 m3

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