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    Question

    What is the maximal number of spherical balls of radius

    1 cm each that can be placed inside a cubical box of height 10 cm?
    A 25 Correct Answer Incorrect Answer
    B 125 Correct Answer Incorrect Answer
    C 250 Correct Answer Incorrect Answer
    D 1000 Correct Answer Incorrect Answer

    Solution

    Diameter of each ball = 2 × 1 = 2 cm Number of balls arranged with respect to the length of box = 10/2 = 5 Number of balls arranged with respect to the breadth of box = 10/2 = 5 Number of balls arranged with respect to the height of box = 10/2 = 5 ∴ Required number of balls = 5 × 5 × 5 = 125

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