Question

    The inner radius of a cylindrical shell is 9.5 cm. If the

    length of the shell and the thickness of the shell are 10 cm and 4 cm, respectively, find the approximate volume of the shell. (Use π = 22/7)
    A 1314 cm³ Correct Answer Incorrect Answer
    B 1850 cm³ Correct Answer Incorrect Answer
    C 1488 cm³ Correct Answer Incorrect Answer
    D 1785 cm³ Correct Answer Incorrect Answer

    Solution

    ATQ,

    Outer radius of the shell = 9.5 + 4 = 13.5 cm

    Volume of the shell = π × height × [(outer radius)² - (inner radius)²]

    = (22/7) × 10 × (13.5² - 9.5²)

    = (22/7) × 10 × (182.25 - 90.25)

    = (22/7) × 10 × 92

    = 1,314.29 cm³ or 1314 cm³

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