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    Question

    A hollow cylindrical drum has an internal radius of 4.8 cm.

    If its length is 18 cm and the thickness is 2.5 cm, calculate the volume of the drum. (Use π = 3.14)
    A 1,708.05 cm³ Correct Answer Incorrect Answer
    B 2,708.05 cm³ Correct Answer Incorrect Answer
    C 1,558.05 cm³ Correct Answer Incorrect Answer
    D 2,308.05 cm³ Correct Answer Incorrect Answer

    Solution

    ATQ,

    Outer radius of drum = 4.8 + 2.5 = 7.3 cm

    Volume of hollow cylinder = π × height × [(outer radius)² - (inner radius)²]

    = 3.14 × 18 × (outer radius + inner radius) × (outer radius - inner radius)

    = 3.14 × 18 × (7.3 + 4.8) × (7.3 - 4.8)

    = 3.14 × 18 × 12.1 × 2.5

    = 3.14 × 18 × 30.25

    = 1,708.05 cm³

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